Question

Complete the sequence: $7,14,33,88,251,738,....$

• A. $2197$
• B. $2157$
• C. $2367$
• D. None of these

Answer 1

Answer: (A)

$2197$

7 14 33 88 251 738 (1459 + 738 = 2197)

7 19 55 163 487 (972 + 487 = 1459) (First Order Differences)

12 36 108 324 (324 X 3 = 972) (Second Order Differences)

We observe that all numbers in line three (Second Order Differences) are a G.P. with common ratio 3.

$\therefore$ the next term in second order differences is $324\times 3=972$

$\therefore$ the next term in first order differences is $972+487=1459$

$\therefore$ the next term in the sequence is $1459+738=2197$