Write the first three terms in each of the sequences defined by the following -
(i) $a_{n}$ = 3n + 2
(ii) $a_{n}$ = $n^{2}$ + 1

Open in App

Solution

(i)

We have,

$a_{n}$ = 3n + 2

Putting n = 1, 2 and 3, we get

$a_{1}$ = 3 × 1 + 2 = 3 + 2 = 5,

$a_{2}$ = 3 × 2 + 2 = 6 + 2 = 8,

$a_{3}$ = 3 × 3 + 2 = 9 + 2 = 11

Thus, the required first three terms of the sequence defined by $a_{n}$ = 3n + 2 are 5, 8, and 11.

(ii)

We have,

$a_{n}$ = $n^{2}$ + 1

Putting n = 1, 2, and 3 we get

$a_{1}$ = $1^{2}$ + 1 = 1 + 1 = 2

_{$a_{2}$}= $2^{2}$ + 1 = 4 + 1 = 5

$a_{3}$ = $3^{2}$ + 1 = 9 + 1 = 10

Thus, the first three terms of the sequence defined by $a_{n}$ = $n^{2}$ + 1 are 2, 5 and 10.

Suggest Corrections

Similar questions

Q. Write the first three terms in each of the sequence defined by the following :
(i)

a_{n} = 3 n + 2

(ii)

a_{n} = n^{2} + 1

Q. Write the first three terms in each of the following sequences defined by following:

(i) a_{n} = 2 n + 5 (i i) a_{n} = \frac{n - 3}{4}

Q. Write the first five terms of each of the following sequences whose

n

th terms are:

a_{n} = 3^{n}

Q. Write the first five terms of each of the following sequences whose

n^{t h}

terms are:

a_{n} = 3 n + 2

Write the first five terms of each of the following sequences whose nth terms are:

(i) $a_{n} = 3 n + 2$
(ii) $a_{n} = \frac{n - 2}{3}$
(iii) $a_{n} = 3^{n}$
(iv) $a_{n} = \frac{3 n - 2}{5}$
(v) $a_{n} = (- 1)^{n}, 2^{n}$
(vi) $a_{n} = \frac{n (n - 2)}{2}$
(vii) $a_{n} = n^{2} - n + 1$
(viii) $a_{n} = - 2 n^{2} - 3 n + 2$
(ix) $a_{n} = \frac{2 n - 3}{6}$

Join BYJU'S Learning Program

Write the first three terms in each of the sequences defined by the following - (i) an = 3n + 2 (ii)an = n2 + 1

Write the first three terms in each of the sequences defined by the following -
(i) $a_{n}$ = 3n + 2
(ii) $a_{n}$ = $n^{2}$ + 1