The nth term of a sequence is given by \(2^{2n-1}\). Find the sum of the first four terms.

Assessment: JAMB UTME - Mathematics - 2019 Subject: General Mathematics

Question 1 Report

The nth term of a sequence is given by \(2^{2n-1}\). Find the sum of the first four terms.

Answer Details
T n = 2 2 n − 1
T 1 = 2 2 ( 1 ) − 1
= 2
T 2 = 2 2 ( 2 ) − 1
= 8
T 3 = 2 2 ( 3 ) − 1
= 32
T 4 = 2 2 ( 4 ) − 1
= 128
T 1 + T 2 + T 3 + T 4 = 2 + 8 + 32 + 128
= 170

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