Given the recursive formula for the geometric sequence a1=5 , an=2/5an−1 , find the second term of the sequence.(1 point)
Responses
a2=2
a subscript 2 baseline equals 2
a2=8/5
a subscript 2 baseline equals Start Fraction 8 over 5 End Fraction
a2=2/5
a subscript 2 baseline equals Start Fraction 2 over 5 End Fraction
a2=5 and 2/5
a subscript 2 baseline equals 5 Start Fraction 2 over 5 End Fraction
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The recursive formula given is:
an = (2/5)an-1
To find the second term, we can substitute n=2 into the formula:
a2 = (2/5)a1
Given that a1 = 5, we can substitute that into the formula:
a2 = (2/5)(5)
Simplifying the expression:
a2 = 10/5
Dividing the numerator by the denominator:
a2 = 2
Therefore, the second term of the sequence is 2.