if a1 =5 an an =5an-1 then whats the value of a4
To find the value of a4, we can use the recursive equation given.
Given: a1 = 5, an = 5an-1
First, let's substitute the values of n in the equation to see if a pattern emerges:
a2 = 5a2-1
a3 = 5a3-1
We notice that each term in the sequence is equal to 5 times the previous term. So, we can write the recursive equation as:
an = 5 * an-1
Now, let's find the value of a4:
a4 = 5 * a4-1
= 5a3
= 5 * 5a3-1 (substituting a3 using the recursive equation)
= 5 * 5a2
= 5 * 5 * 5a1
= 5 * 5 * 5 * a1 (a1 = 5)
= 5 * 5 * 5 * 5
= 5^4
= 625
Therefore, the value of a4 is 625.
To find the value of a4, we need to apply the given recursive formula and find the 4th term in the sequence.
We are given:
a1 = 5
an = 5 * an-1
To find a2, we substitute n = 2 into the recursive formula:
a2 = 5 * a2-1 = 5 * a1 = 5 * 5 = 25
To find a3, we substitute n = 3 into the formula:
a3 = 5 * a3-1 = 5 * a2 = 5 * 25 = 125
Finally, to find a4, we substitute n = 4 into the formula:
a4 = 5 * a4-1 = 5 * a3 = 5 * 125 = 625
Therefore, the value of a4 is 625.