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What is the common difference of an A.P. in which a_{24}-a_{17

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What is the common difference of an A.P. in which $a_{24} - a_{17} = - 28$ ?

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What is the common difference of an A.P. in which

a_{24} - a_{17} = - 28

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Text solutionVerified

General

n^{t h}

term in AP,

a_{n} = a + (n - 1) d

a =

first term,

d =

common difference.

Given,

a_{24} - a_{17} = - 28

\Rightarrow (a + 23 d) - (a + 16 d) = - 28

\Rightarrow 23 d - 16 d = - 28

\Rightarrow 7 d = - 28

\Rightarrow d = - 4

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Question Text	What is the common difference of an A.P. in which $a_{24} - a_{17} = - 28$ ?
Answer Type	Text solution:1
Upvotes	150