Question

if sx =(3x^2+2x), find the first term and common difrence of the ap​

Answer 1

$\underline{\textsf{Given:}}$

$\textsf{Sum of first x terms of an A.P}$

$\mathsf{S_x=3x^2+2x}$

$\underline{\textsf{To find:}}$

$\textsf{First term and common ratio}$

$\underline{\textsf{Solution:}}$

$\textsf{Consider,}$

$\mathsf{S_x=3x^2+2x}$

$\textsf{For x=1,}$

$\mathsf{S_1=3(1)^2+2(1)}$

$\implies\mathsf{a=3+2}$

$\implies\boxed{\mathsf{a=5}}$

$\textsf{For x=2,}$

$\mathsf{S_2=3(2)^2+2(2)}$

$\implies\mathsf{a+(a+d)=12+4}$

$\implies\mathsf{2a+d=16}$

$\implies\mathsf{2(5)+d=16}$

$\implies\mathsf{10+d=16}$

$\implies\boxed{\mathsf{d=6}}$

$\underline{\textsf{Answer:}}$

$\textsf{First term is 5 and common difference is 6}$

Find more:

in an ap if s3=24 and s4=30 then find a4 ...

please friends solve it fast it's urgent please friends ...​

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