Question

find the number of term in A.p in which a1=5 d=25 and an=130​

Answer 1

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

$\textsf{In an A.P,}$

$\mathsf{a_1=5,\;d=25,\;a_n=130}$

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

$\textsf{The number of terms in the given A.P}$

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

$\textsf{The number of terms of the A.P a, a+d, a+2d,.....,l is given by}$

$\boxed{\mathsf{n=\dfrac{l-a}{d}+1}}$

$\textsf{Here, a=5, d=25, l=130}$

$\textsf{The number of terms the A.P}$

$\mathsf{n=\dfrac{l-a}{d}+1}$

$\mathsf{n=\dfrac{130-5}{25}+1}$

$\mathsf{n=\dfrac{125}{25}+1}$

$\mathsf{n=5+1}$

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

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

$\textsf{The number of terms in the given A.P is 6}$

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