Question

The first 2 terms of an AP are -3, 2. The next 2 terms are (a) 7, 9 {b) 0, 2 (.c) 7, 12 (d) 1, 0

Answer 1

Answer:

here common difference is {2-(-3)}=2+3=5

so 3rd term=2+5=7

4th term=7+5=12

so next 2 terms are (7,12)

(c) is the correct answer

Answer 2

Answer:

(c) 7, 12

Step-by-step explanation:

In the given A.P.:

a = The First Term = -3

d = Common Difference = 2-(-3) = 5

General Term of an A.P.:

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

So:

$a_3= - 3+(3−1)5 \\= - 3 \: + \: 10 \: \: \: \\ = 7 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:$

$a_4= - 3+(4−1)5 \\= - 3 \: + \: 15 \: \: \: \\ = 12 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:$

Hope it helps.