Question

8,27,57,?,158,233 missing number

Answer 1

The missing number(?) is 100.

Step-by-step explanation:

The given sequence are:

8, 27, 57,?, 158, 233

To find, missing number =?

The pattern follow:

$4^{2} +3,5^{2} +5,6^{2} +7,7^{2} +9,....$

$27 = 8 + (4^{2} +3)=8+(16+3)=8+19=17$

$57 = 27 + (5^{2} +5)=27+(25+5)=27+30=57$

Similarly,

$? = 57 + (6^{2} +7)=57+(36+7)=57+43=100$

$158 = 100 + (7^{2} +9)=100+(49+9)=100+58=158$ and

$233 = 158 + (8^{2} +11)=158+(64+11)=158+75=233$

Hence, the missing number is 100.

Answer 2

The missing number is 100.

Step-by-step explanation:

Consider the provided series.

8,27,57,?,158,233

We can find 27 by following the pattern:

27=8+4²+3

Now, we can find the next number 57 as:

57=27+5²+5 (Here, 5 is the next odd number)

Thus, the next number will follow the same pattern.

?=57+6²+7 (Here, 7 is the next odd number)

?=57+36+7

?=100

Hence, the missing number is 100.

Now verify it by checking whether other numbers follows the same pattern or not.

158=100+7²+9 (Here, 9 is the next odd number)

233=158+8²+11  (Here, 9 is the next odd number)

Hence, the missing number is 100.

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