Write the $n^{t h}$ term $a_{n}$ of the $A P$ with first term $a$ and common difference $d$

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Solution

The general formula being used is,

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

where,

n = number of terms

a = first term

d = common difference

$a_{n}$ = nth term

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Similar questions

Q. What is the nth term of an AP with first term a and common difference d?

State true or false.

In an AP with first term

a

and common difference

d,

the

n t h

term (or the general term) is given by

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

Find the $n^{t h}$ term of the AP with ‘a’ as first term and ‘d’ as common difference.

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.

Q. 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.

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Write the nth term an of the AP with first term a and common difference d

The general formula being used is,an=a+(n−1)dwhere,n = number of termsa = first termd = common differencean = nth term

Write the $n^{t h}$ term $a_{n}$ of the $A P$ with first term $a$ and common difference $d$

The general formula being used is,

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

where,

n = number of terms

a = first term

d = common difference

$a_{n}$ = nth term