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.
Represent this situation in the form of an equation, where $a$ = first term, $a_{n}$ = $n^{t h}$ term and $d$ is the common difference.

a_{n} = 5 + a

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a_{n} = 5 - a

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a_{n} = 5 a

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5 a_{n} = a

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Solution

The correct option is C $a_{n} = 5 a$

The given question says that the $n^{t h}$ term is 5 times the first term. Hence, $a_{n} = 5 a$ .

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$n^{t h}$ term of an AP is five times its first term.
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Represent this situation in the form of an equation, where $a$ = first term, $a_{n}$ = $n^{t h}$ term and $d$ is the common difference.

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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. Represent this situation in the form of an equation, where a = first term, an = nth term and d is the common difference.

The correct option is C an=5a The given question says that the nth term is 5 times the first term. Hence, an=5a.

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.
Represent this situation in the form of an equation, where $a$ = first term, $a_{n}$ = $n^{t h}$ term and $d$ is the common difference.

The correct option is C $a_{n} = 5 a$

The given question says that the $n^{t h}$ term is 5 times the first term. Hence, $a_{n} = 5 a$ .