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1. Consider the first six terms of this sequence: 2, 5, 8, 11, 14, 17,........What would
be the 41st term of this sequence? *​

Respuesta :

Answer:

a(41) = 122

Step-by-step explanation:

Each new term of the given sequence is 3 more than the previous term.  Thus, this is an arithmetic sequence with common difference d = 3.  Since the first term is 2, the general formula for this arithmetic sequence is a(n) = 2 + 3(n - 1).

For the 41st term of this sequence, a(41) = 2 + 3(41 - 1), or

a(41) = 2 + 120 = 122