In: Advanced Math
For the following exercises, use the recursive formula to write the first five terms of the arithmetic sequence.
a1 = 39; an = an − 1 −3
Consider the recursive formula of an arithmetic sequence,
a1 = 39
an = an-1 - 3 ...... (1)
The first term of given sequence is a1 = 39
Compute second term as follows:
a2 = a1 – 3
= 39 -3
= 36
Compute third term of the sequence as follows:
a3 = a2 – 3
= 36 – 3
= 33
Compute forth term of the sequence as follows:
a4 = a3 – 3
= 33 – 3
= 30
Compute fifth term of the sequence as follows:
a5 = a4 – 3
= 30 – 3
= 27
Therefore, first five terms {a1, a2, a3, a4, a5} of the given arithmetic sequence are {39, 36, 33, 30, 27}.
Therefore, first five terms {a1, a2, a3, a4, a5} of the given arithmetic sequence are {39, 36, 33, 30, 27}.