if a1=6 and an=an-1-5 find the value of a5
To determine the value of a5, we can apply the given recursive formula an = an-1 - 5.
Given that a1 = 6, we can find the subsequent terms as follows:
a2 = a1 - 5 = 6 - 5 = 1
a3 = a2 - 5 = 1 - 5 = -4
a4 = a3 - 5 = -4 - 5 = -9
a5 = a4 - 5 = -9 - 5 = -14
Therefore, the value of a5 is -14.
To find the value of a5, we can use the given formula:
an = an-1 - 5
Let's plug in the values we know:
a1 = 6
Using the formula, we can find the value of a2 as follows:
a2 = a1 - 5 = 6 - 5 = 1
Similarly, we can find the values of a3, a4, and a5:
a3 = a2 - 5 = 1 - 5 = -4
a4 = a3 - 5 = -4 - 5 = -9
a5 = a4 - 5 = -9 - 5 = -14
Therefore, the value of a5 is -14.