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Identify the numbers that occur in the given series: 0, 3, 10, 21, 36, … ? A. 55 B. 78 C. 99 D. 105 E. 136 Choose the most appropriate ans
Question

Identify the numbers that occur in the given series: 0, 3, 10, 21, 36, … ?
A. 55
B. 78
C. 99
D. 105
E. 136
Choose the most appropriate answer from the options given below:

A.

A, B, C and D only

B.

B, C, and E only

C.

C, D, E, and A only

D.

D, E, A, and B only

Correct option is D

The given series: 0, 3, 10, 21, 36, …
Given = the double difference is 4
first difference
3 - 0 = 3
10 - 3 = 7
21 - 10 = 11
36 - 21 = 15
double difference is
7 - 3 = 4
11 - 7 = 4
15 - 11 = 4
so next difference should be 15 + 4 = 19
further next = 19 + 4= 23
further next = 23 + 4 = 27
further next difference = 27 + 4 = 31
so next term = 36 + 19 = 55
further next term = 55 + 23 = 78
further next term = 78 + 27 = 105
further next term = 105 + 31 = 136
hence except C (99) all term will be answer.
Hence option d is correct.

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