(D) Given,$a_{18}-a_{14}=32$.Using the formula for the $n^{th}$ term of an $AP$,$a_n = a + (n-1)d$,we have:$a + (18-1)d - [a + (14-1)d] = 32$$a + 17d

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(D) Given,$a_{18}-a_{14}=32$.Using the formula for the $n^{th}$ term of an $AP$,$a_n = a + (n-1)d$,we have:$a + (18-1)d - [a + (14-1)d] = 32$$a + 17d - a - 13d = 32$$4d = 32$$d = 32 / 4 = 8$Thus,the common difference $d$ is $8$.

Class 10 Mathematics Arithmetic Progressions nth Term of an AP

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What is the common difference of an $AP$ in which $a_{18}-a_{14}=32$?

A
$4$
B
$-4$
C
$-8$
D
$8$

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Arithmetic Progressions

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nth Term of an AP

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What is the common difference of an $AP$ in which $a_{18}-a_{14}=32$?

Similar Questions

In an $AP$,if $a = 3.5, d = 0, n = 101$,then $a_{n}$ will be

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