Question

What is the seventh term of the sequence 0, 3, 8, 15, 24, …. ?
A.63
B.48
C.35
D.33

Answer 1

Hint: In the given sequence, find the common series going on between the two consecutive numbers like in 0 and 3, 3 and 8 and so on by using mathematical operations.

Complete step-by-step answer:
From the given question, the series we have is 0, 3, 8, 15, 24, …..
First, we have to find the common series going in the given series by using the mathematical operations (addition, subtraction, division or multiplication) between the two consecutive numbers or alternative numbers.
The difference between 0 and 3 is 3, now the difference between 8 and 3 is 5, the difference between 8 and 15 is 7 and finally, the difference between 15 and 24 is 7.
We know that the difference between the two consecutive numbers is a series of odd numbers or addition of 2 in the preceding difference.
Since we know that 24 is the fifth term and the sixth term is obtained by adding the succeeding odd number, which is 9.
So, the sixth number is $ 24 + 11 = 35 $ .
Similarly, the seventh term is obtained by adding the succeeding odd number, which is 11.
 $ 35 + 13 = 48 $
Hence, the seventh term of the given series is 44.

Note: A sequence is a type of arrangement of numbers in a specific manner or order according to sum rule. For example: 1, 4, 9, 16 and so on. This is a sequence of squares of the number itself.