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Find next term of the series 10, 69, 236, 595,?
Most Upvoted Answer
Find next term of the series 10, 69, 236, 595,?
Solution:

The given series is: 10, 69, 236, 595,?

Let's find the pattern of the series.

Pattern:

To get the next term of the series, we have to add the square of the position of the term to its previous term.

For example,

- The second term is 69, which is obtained by adding the square of the position of the term (2^2 = 4) to the previous term (10 + 4 = 14^2 = 196).
- The third term is 236, which is obtained by adding the square of the position of the term (3^2 = 9) to the previous term (69 + 9 = 78^2 = 6084).
- The fourth term is 595, which is obtained by adding the square of the position of the term (4^2 = 16) to the previous term (236 + 16 = 252^2 = 63504).

Calculation:

To find the next term of the series, we have to add the square of the position of the term (5^2 = 25) to the previous term (595).

So, the next term of the series is:

595 + 25 = 620.

Therefore, the next term of the series is 620.

Conclusion:

The next term of the series 10, 69, 236, 595, ? is 620. The pattern of the series is to add the square of the position of the term to its previous term.
Community Answer
Find next term of the series 10, 69, 236, 595,?
Step 1

diff of (10 and 69) =59
and 236-69=167
595-236=359

step 2
take difference of diffrence
i.e 167-59=108
and 359-167=192

step3
again diffrence of diffrence
that is 192-108=84

so 84 re written as 12*7
so the next diffrence is 12*9 =108
then add


108+192+359+595=1254

so the next number is 1254

ans= 1254
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Find next term of the series 10, 69, 236, 595,?
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