Find the next term in the series given below.4, 11, 37, 153, ?759653829771
Question
Find the next term in the series given below.4, 11, 37, 153, ?759653829771
Solution
The given series is 4, 11, 37, 153, ?
To find the next term, we need to identify the pattern in the series.
Looking at the series, we can see that each term is obtained by multiplying the previous term by a certain number and then adding another number.
Let's try to find these numbers:
- 11 = 4*2 + 3
- 37 = 11*3 + 4
- 153 = 37*4 + 5
So, the pattern is to multiply the previous term by an increasing number (2, 3, 4) and then add another increasing number (3, 4, 5).
Following this pattern, the next term should be obtained by multiplying the last term (153) by 5 and then adding 6:
153 * 5 + 6 = 771
So, the next term in the series is 771.
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