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A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
The sequence (an) is defined by a0 = 1 and a (n+1)= 2an +2 for n = 0,1,2.... what is the value of a3?
Solution:
It is given that
a0 = 1
a (n+1) = 2an +2
Substitute n = 0
a (0 + 1) = 2a0 + 2
a1 = 2 × 1 + 2
a1 = 2 + 2
a1 = 4
Substitute n = 1
a (1 + 1) = 2a1 + 2
a2 = 2 × 4 + 2
a2 = 8 + 2
a2 = 10
Substitute n = 2
a (2 + 1) = 2a2 + 2
a3 = 2 × 10 + 2
a3 = 20 + 2
a3 = 22
Therefore, the value of a3 is 22.
The sequence (an) is defined by a0 = 1 and a (n+1) = 2an +2 for n=0,1,2.... what is the value of a3?
Summary:
The sequence (an) is defined by a0 = 1 and a (n+1) = 2an +2 for n = 0,1,2.... the value of a3 is 22.
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