Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 4 - An Introduction to Functions - 4-7 Sequences and Functions - Mixed Review - Page 279: 63

Answer

1. The second term is 16 2. The third term is 19 3. The fourth term is 22 4. The explicit formula is A(n)=13+3(n-1)

Work Step by Step

A(1)=13 A(n)=A(n-1)+3 1. The second term is A(2)=A(2-1) +3 = A(1)+3 = 13 +3= 16 2. The third term is A(3)=A(3-1)+3= A(2)+3 = 16+3 = 19 3. The fourth term is A(4)=A(4-1)+3 = A(3)+3 = 19+3 = 22 4. The explicit formula is A(n)=13+3(n-1) Because the sequence is in the form of A(n)=A(1)-d(n-1) and the value of A(1) is 13 and the value of d is 3 as it was derived from the recursive formula and also from the sequence.
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