passpadi

2019

Mathematics

67ca00ce0c643c71d77dee1f

The nth term of a sequence is given by 2(2n−1). Find the sum of the first four terms.

A.

74

B.

32

C.

42

D.

170

Correct Answer: 170

Explanation

Tn = 2(2n−1) T1 = 2(2(1)−1 = 2 T2 = 2(2(2)−1) = 8 T3 = 2(2(3)−1) = 32 T4 = 2(2(4)−1) = 128 T1+T2+T3+T4 = 2 + 8 + 32 + 128 = 170

Tn = 2(2n−1) T1 = 2(2(1)−1 = 2 T2 = 2(2(2)−1) = 8 T3 = 2(2(3)−1) = 32 T4 = 2(2(4)−1) = 128 T1+T2+T3+T4 = 2 + 8 + 32 + 128 = 170
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