Question

find the next term in sequence:-


1, 6, 23, 58, 117



a)206

b)220

c)230

d)240

Answer 1

Answer:

(a) 206 is the correct answer.

Answer 2

The correct option is A) 206.

Step-by-step explanation:

Consider the provided sequence.

1, 6, 23, 58, 117

Consider the pattern as shown:

6-1=5

23-6=17

58-23=35

117-58=59

Now find the difference of the difference

17-5=12

35-17=18 (12+6)

59-35=24  (18+6)

Here we can observe that the difference of the difference is increasing by 6.

So the next difference of the difference should be 24+6=30.

Thus add 59 and 30 that will gives us 89.

That means the difference between next number and 117 should be 89.

So add 89 to 117

117+89=206

Hence, the correct option is A) 206.

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