Question

in an A.P S10=80 and S9=72 then the value of a10=?












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Answer 1

Answer is in the above given attachment

Answer 2

Answer:

The value of $10^{\text {th }}$ term  is 8.

Given:

In an A.P  $S_{10}$ = 80 and $S_{9}$ = 72  

To find:

The value of $a_{10}$

Solution :  

In an AP. The series is a, a + d, a + 2d, ….

$S_{10}$  = sum of 10 terms

$S_{9}$  = sum of 9 terms

$S_{10} = S_{9}$  + 10th term

Hence substituting the values in the above equation, we get

80 = 72 + $10^{\text {th }}$ term

$10^{\text {th }}$ term = 8.

Result:

The value of $10^{\text {th }}$ term  is 8.