Question

in an AP if S25 = 1275 and S24 = 1176 then a25 =​

Answer 1

Answer:

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Answer 2

SOLUTION

GIVEN

$\sf{In \: an \: AP \: \: S_{25} = 1275 \: \: and \: \: S_{24} = 1176}$

TO DETERMINE

$\sf{a_{25} }$

EVALUATION

Here it is given that

$\sf{In \: an \: AP \: \: S_{25} = 1275 \: \: and \: \: S_{24} = 1176}$

So sum of first 25 terms = 1275

$\sf{a_1 + a_2 + a_3 +..+a_{24}+a_{25} = 1275} \: \: - - - (1)$

Again sum of first 24 terms = 1176

$\sf{a_1 + a_2 + a_3 +..+a_{24} = 1176} \: \: - - - - (2)$

Now Equation 1 - Equation 2 gives

$\sf{a_{25} = 1275 - 1176}$

$\sf{ \implies \: a_{25} = 99}$

FINAL ANSWER

$\boxed{ \: \sf{ \: a_{25} = 99} \: \: }$

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