In a sequence, the first term is 1 and the second term is 2. each additional term is equal to the sum of all previous terms. what is the value of the first term in this sequence that is greater than 100? a. 101 b. 109 c. 128 d. 144 e. 192

Solution

The general form of the n-th term = a + (n-1)d

Here we are given the 1st term (a) = 1

2nd term = 2

So the sequence is

1, 2, 3, 4, 5 , 6, 7, 8, 100, 101, 102

The value of the first term in this sequence that is greater than 100 is 101.

Answer is a. 101

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