Answer:
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From the given series we can see:
- the first term is a = 3;
- the common difference is d = 11.
It gives us the nth term formula:
- a(n) = a + (n - 1)d
- a(n) = 3 + (n - 1)*11
- a(n) = 3 + 11n - 11
- a(n) = 11n - 8
The 25th term is:
- a(25) = 11*25 - 8
- a(25) = 267
The term 99 more than 25th term is:
- a(n) = 99 + 267
- a(n) = 366
Find the value of n:
- 11n - 8 = 366
- 11n = 374
- n = 374/11
- n = 34