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Question

Consecutive powers of 3 are added to form this sequence: 3^0,3^0+ 3^1, 3^0+ 3^1+ 3^2, and so on. What is the simplified value of the fourth term of the sequence?

Accepted Answer

The fourth term in the sequence is 3^0+3^1+3^2+3^3 = 1+3+9+27 = 40.