Question

Convert the recursive form a1=5, an=2an−1
to the explicit form. (1 point)
Responses

an=5(2)n−1

A sub n is equal to 5 times 2 raised to the n minus 1 power

an=5(2)n+1

A sub n is equal to 5 times 2 raised to the n plus 1 power

an=2(5)n−1

A sub n is equal to 2 times 5 raised to the n minus 1 power

an=3(7)n

Answer 1

an = 5·2^{n−1}

Explanation: this is a geometric sequence with a1 = 5 and ratio r = 2, so an = a1·r^{n−1} = 5·2^{n−1}.