Question

If Sum of 15 terms of AP is 234 and 14 terms is 198 then 15th is​

Answer 1

Answer:

36

Step-by-step explanation:

Sn-S(n-1)=Tn

so T15=234-198=36

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Answer 2

Concept

An arithmetic sequence or arithmetic sequence is a sequence of numbers such that the difference between successive terms is constant.

The sum of n terms of AP is the sum (addition) of the first n terms of the arithmetic sequence. It is equal to n divided by 2 times the sum of twice the first term - "a" and the product of the difference between the second and first term - "d", also known as the common difference, and (n-1), where n is the number of terms to be added.

An arithmetic progression is a sequence where each term, except the first term, is obtained by adding a fixed number to its previous term.

a(n)= S(n) - S(n-1)

Given

It is given that sum of 15 terms of AP is 234 and 14 terms is 198

Find

We need to find the 15 th term of an AP

Solution

a(n)= S(n) - S(n-1)

a(15) = S(15) - S(14)

a(15) = 234 - 198

a(15) = 36

Hence the 15th term of an AP is 36

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