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Sagot :
Given parameters are:
When
n = 1, value = 8
n =2, value = 15
...
n =4, value = 29
Now, we have two general sequences, arithmetic sequence and geometric sequence.
The arithmetic sequence deals with the common difference while the other covers the common ratio.
If we see the values closely, there is a common difference in every alternative values. For example,
15 - 8 = 7
22 - 15 = 7
29 - 22 = 7
Hence, the given sequence is an arithmetic sequence. The formula for the nth term of such sequence is:
a(n) = a1 + (n-1)*d
Here, a1 is the first value, which is 8. So,
a1 = 8
d is a common difference that is 7. So,
d = 7
We have to find the 100th term. So,
n = 100
Now, put all the values in the equation.
a(100) = 8 + (100-1)*7
a(100) = 8 + (99)*7
a(100) = 8 + 693
a(100) = 701
Therefore, the 100th term is 701.
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