In an AP, where the first term is 7 and the common difference is 4, ___term of the AP will be five times the first term. (Enter number only)

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Solution

first term $a$ = 7 and common difference $d$ = 4
Given, $a_{n}$ = $5 a$
$5 a = 5 \times 75 = 35$
Now, $n^{t h}$ term of the AP, $a_{n} = a + (n - 1) d$
$a_{n} = 7 + (n - 1) 4$
$35 = 7 + (n - 1) 4$
$n - 1 = 7$
$n = 8$
$∴$ $8^{t h}$ term of the AP is five times the first term.

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In an AP, where the first term is 7 and the common difference is 4, ___term of the AP will be five times the first term. (Enter number only)

first term a = 7 and common difference d = 4 Given, an = 5a 5a=5×75=35 Now, nth term of the AP, an=a+(n−1)d an=7+(n−1)4 35=7+(n−1)4 n−1=7 n=8 ∴ 8th term of the AP is five times the first term.

first term $a$ = 7 and common difference $d$ = 4
Given, $a_{n}$ = $5 a$
$5 a = 5 \times 75 = 35$
Now, $n^{t h}$ term of the AP, $a_{n} = a + (n - 1) d$
$a_{n} = 7 + (n - 1) 4$
$35 = 7 + (n - 1) 4$
$n - 1 = 7$
$n = 8$
$∴$ $8^{t h}$ term of the AP is five times the first term.