Question

5 9 13 ? 57 157
option..
40
41
45
47
49

Answer 1

Answer:

Therefore, Option d, 47 will be the answer.

Step-by-step explanation:

The given sequence is 5, 9, 13, ?, 57, 157

In this sequence there is a common difference of 4 in each successive term to the previous term.

Therefore, the given sequence is an arithmetic sequence.

Explicit formula for the arithmetic sequence is given by

$T_{n}=a+(n-1)d$

Here a = 1st term of the sequence.

        n = number of term

        d = common difference

Now we have to find out fourth term of the given sequence.

$T_{4}=5+(4-1)\times 4$

    = 5 + 3 × 4

    = 17

Similarly next terms after 17 will be

5, 9, 13, 17, 21, 25,29, 31, 35, 39, 43, 47, .....57 .... 157

Therefore, Option d, 47 will be the answer.

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