Question

if for an A.P. s15 = 147 and s14= 123 find t15​

Answer 1

Answer:

24

Step-by-step explanation:

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Answer 2

Given:

$S_{15}=147$

$S_{14} =123$

To find:

$T_{15}$

Solution:

We have been given the sum of 14 and 15 terms of an AP as 123 and 147 respectively.

We know, a relation,

$t_{n}=S_{n}- S_{n-1}$  

According to the question, we can take

$n=15$  and $n-1 =14$

Substituting the given values in the equation, we get

$t_{15} =S_{15}- S_{14}$

$t_{15}=147-123$

$t_{15} =24$

Final answer:

Hence, the 15th term of the series is 24 . OR t₁₅ = 24.