What expression shows the relationship between the value of any term and n, its position in the sequence for the given sequence? 3, 5, 7, 9, 11, ... A) 2n B) 2n + 1 C) - n + 3 D) 2n - 2

Question

Terrance Patrick

Mathematics

14 April, 22:55

What expression shows the relationship between the value of any term and n, its position in the sequence for the given sequence? 3, 5, 7, 9, 11, ... A) 2n B) 2n + 1 C) - n + 3 D) 2n - 2

+1

Answers (1)

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Elf · Answer 1

B. 2n + 1.

Step-by-step explanation:

This is an arithmetic series with first germ 3 and common difference 2.

The nth term (an) = a1 + d (n - 1)

= 3 + 2 (n - 1)

= 2n + 3 - 2

= 2n + 1.