Question

2018 I 1) The common difference of two
April
different arithmetic progressions are equal
The first term of the first progression in 3
more than the first term of second progression
If the 7th term of first term progression is 28
and 8th
term of Second progressions is 29
then find the both difference of arthmetic progression
TURDAY​

Answer 1

$\textsf{Let the given two A.P be}$

$\textsf{a,a+d,a+2d,............and}$

$\textsf{b,b+d,b+2d,...........}$

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

$\mathsf{a=b+3}$

$\mathsf{In\;first\;A.P,\;t_7=28}$

$\mathsf{In\;second\;A.P,\;t_8=29}$

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

$\textsf{Common difference}$

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

$\mathsf{Consider,}$

$\mathsf{In\;first\;A.P,\;t_7=28}$

$\implies\mathsf{a+6d=28}$

$\implies\mathsf{(b+3)+6d=28}$

$\implies\mathsf{b+6d=25}$.......(1)

$\mathsf{In\;second\;A.P,\;t_8=29}$

$\implies\mathsf{b+7d=29}$......(2)

$\mathsf{Subtract\;(2)\;from\;(1),\;we\;get}$

$\mathsf{-d=-4}$

$\implies\boxed{\mathsf{d=4}}$

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

$\textsf{The common difference is 4}$

$\underline{\textsf{Find more:}}$

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