Question

Consider the the first six terms in the sequence 10, 29, 48, 67, 86, 105. Which statements are correct? A) The 10th term in this sequence is 199. B) The 15th term in this sequence is 276. C) The 20th term in this sequence is 389. D) The recursive formula is an - 2ₙ₋₁ + 19. E) The explicit formula is a, = 19n - 9.

Answer 1

Explanation:

This is an arithmetic sequence when each term is 19 higher than the previous. You can use the formula 19(n-1)+10 when n is the desired term you wish to find. So options A and C are wrong because when plugged into the formula we get another solution. D is wrong because it provides us with an incorrect formula for both the recursive and explicit versions.

The correct answer is B, when the 15th term is 276.