Question

Find the nth term of the following sequence... 3, 11, 19, 27

Answer 1

Given:-

• An A.P = 3, 11, 19, 27, . . . .

To Find:-

• nth term of an A.P.

Formula Used:-

• ${\boxed{\bf{a_n = a+(n-1)d}}}$

Here,

• $\bf a_n$ = nth term

• a = First term of the A.P

• d = Common Difference

• n = No. of terms in an A.P

Solution:-

Using Formula,

$\bf :\implies\:a_n = a+(n-1)d$

Here,

• a = 3

• d = 11 - 3 = 8

Putting values,

$\sf :\implies\:a_n= 3+(n-1)8$

$\sf :\implies\:a_n= 3+8n-8$

$\sf :\implies\:a_n= 8n-5$

Hence, nth term on given A.P is 8n-5.

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More Formulas related to A.P:-

• $\bf S_n=\dfrac{n}{2}[2a+(n-1)d]$

• $\bf S_n=\dfrac{n}{2}[a+a_n]$

• $\bf S_n=\dfrac{n}{2}[a+l]$

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