FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Sum of Total Terms of Arithmetic Progression Formula

GoSum of Total Terms of Arithmetic Progression given Last Term Formula

Fx Copy

LaTeX Copy

The Sum of Total Terms of Progression is the summation of the terms starting from the first to the last term of given Progression. Check FAQs

S Total = (\frac{n Total}{2}) \cdot ((2 \cdot a) + ((n Total - 1) \cdot d))

S_Total - Sum of Total Terms of Progression?n_Total - Number of Total Terms of Progression?a - First Term of Progression?d - Common Difference of Progression?

Sum of Total Terms of Arithmetic Progression Example

With values

With units

Only example

Here is how the Sum of Total Terms of Arithmetic Progression equation looks like with Values.

Here is how the Sum of Total Terms of Arithmetic Progression equation looks like with Units.

Here is how the Sum of Total Terms of Arithmetic Progression equation looks like.

210 = (\frac{10}{2}) \cdot ((2 \cdot 3) + ((10 - 1) \cdot 4))

210 = (\frac{10}{2}) \cdot ((2 \cdot 3) + ((10 - 1) \cdot 4))

210 = (\frac{10}{2}) \cdot ((2 \cdot 3) + ((10 - 1) \cdot 4))

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Math » Category

Sequence and Series » Category

AP,GP and HP » fx Sum of Total Terms of Arithmetic Progression

Sum of Total Terms of Arithmetic Progression Solution

Follow our step by step solution on how to calculate Sum of Total Terms of Arithmetic Progression?

FIRST Step Consider the formula

S Total = (\frac{n Total}{2}) \cdot ((2 \cdot a) + ((n Total - 1) \cdot d))

Next Step Substitute values of Variables

∴

S Total = (\frac{10}{2}) \cdot ((2 \cdot 3) + ((10 - 1) \cdot 4))

Next Step Prepare to Evaluate

∴

S Total = (\frac{10}{2}) \cdot ((2 \cdot 3) + ((10 - 1) \cdot 4))

LAST Step Evaluate

∴

S Total = 210

Sum of Total Terms of Arithmetic Progression Formula Elements

Variables

Sum of Total Terms of Progression

The Sum of Total Terms of Progression is the summation of the terms starting from the first to the last term of given Progression.

Symbol: S_Total

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Sum of Total Terms of Progression

Number of Total Terms of Progression

The Number of Total Terms of Progression is the total number of terms present in the given sequence of Progression.

Symbol: n_Total

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Number of Total Terms of Progression

First Term of Progression

The First Term of Progression is the term at which the given Progression starts.

Symbol: a

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find First Term of Progression

Common Difference of Progression

The Common Difference of Progression is the difference between two consecutive terms of a Progression, which is always a constant.

Symbol: d

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Common Difference of Progression

Other Formulas to find Sum of Total Terms of Progression

Go Sum of Total Terms of Arithmetic Progression given Last Term

S Total = (\frac{n Total}{2}) \cdot (a + l)

Other formulas in Sum of Terms of Arithmetic Progression category

Go Sum of Last N Terms of Arithmetic Progression given Last Term

S n(End) = (\frac{n}{2}) \cdot ((2 \cdot l) + (d \cdot (1 - n)))

Go Sum of Last N Terms of Arithmetic Progression

S n(End) = (\frac{n}{2}) \cdot ((2 \cdot a) + (d \cdot ((2 \cdot n Total) - n - 1)))

Go Sum of Terms from Pth to Qth Terms of Arithmetic Progression

S p-q = (\frac{q - p + 1}{2}) \cdot ((2 \cdot a) + ((p + q - 2) \cdot d))

Go Sum of First N Terms of Arithmetic Progression

S n = (\frac{n}{2}) \cdot ((2 \cdot a) + ((n - 1) \cdot d))

How to Evaluate Sum of Total Terms of Arithmetic Progression?

Sum of Total Terms of Arithmetic Progression evaluator uses Sum of Total Terms of Progression = (Number of Total Terms of Progression/2)*((2*First Term of Progression)+((Number of Total Terms of Progression-1)*Common Difference of Progression)) to evaluate the Sum of Total Terms of Progression, The Sum of Total Terms of Arithmetic Progression formula is defined as the summation of the terms starting from the first to the last term of given Arithmetic Progression. Sum of Total Terms of Progression is denoted by S_Total symbol.

How to evaluate Sum of Total Terms of Arithmetic Progression using this online evaluator? To use this online evaluator for Sum of Total Terms of Arithmetic Progression, enter Number of Total Terms of Progression (n_Total), First Term of Progression (a) & Common Difference of Progression (d) and hit the calculate button.

FAQs on Sum of Total Terms of Arithmetic Progression

What is the formula to find Sum of Total Terms of Arithmetic Progression?

The formula of Sum of Total Terms of Arithmetic Progression is expressed as Sum of Total Terms of Progression = (Number of Total Terms of Progression/2)*((2*First Term of Progression)+((Number of Total Terms of Progression-1)*Common Difference of Progression)). Here is an example- 210 = (10/2)*((2*3)+((10-1)*4)).

How to calculate Sum of Total Terms of Arithmetic Progression?

With Number of Total Terms of Progression (n_Total), First Term of Progression (a) & Common Difference of Progression (d) we can find Sum of Total Terms of Arithmetic Progression using the formula - Sum of Total Terms of Progression = (Number of Total Terms of Progression/2)*((2*First Term of Progression)+((Number of Total Terms of Progression-1)*Common Difference of Progression)).

What are the other ways to Calculate Sum of Total Terms of Progression?

Here are the different ways to Calculate Sum of Total Terms of Progression-

Sum of Total Terms of Progression=(Number of Total Terms of Progression/2)*(First Term of Progression+Last Term of Progression)

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

Sum of Total Terms of Arithmetic Progression Formula

​GoSum of Total Terms of Arithmetic Progression given Last Term Formula

Sum of Total Terms of Arithmetic Progression Example

Sum of Total Terms of Arithmetic Progression Solution

Sum of Total Terms of Arithmetic Progression Formula Elements

Other Formulas to find Sum of Total Terms of Progression

Other formulas in Sum of Terms of Arithmetic Progression category

How to Evaluate Sum of Total Terms of Arithmetic Progression?

FAQs on Sum of Total Terms of Arithmetic Progression

Variable Name

GoSum of Total Terms of Arithmetic Progression given Last Term Formula