Find the nth term of the given sequence. 5, 8, 11, 14, ...
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Find the nth term of the given sequence. 5, 8, 11, 14, ...
5n + 2
2n + 3
3n + 2
n + 2
The sequence is an arithmetic progression with first term a=5 and common difference d=3. The nth term is a + (n-1)d = 5 + (n-1)3 = 3n + 2.
Checking the pattern by substituting n = 1 into the formula 3n + 2 gives the first term as 3(1) + 2 = 5. Substituting n = 2 gives the second term as 3(2) + 2 = 8, which matches the sequence perfectly. This confirms the nth term is correctly represented by the expression 3n + 2.