Question

What is the third term in a sequence given by the formula a_(n)=a_(n-1)+30 if a_(1)=-5

Answer 1

The third term in the sequence is 55.

Step-by-step explanation:

The formula for the nth term in the sequence is given by the formula an = an-1 + 30, where a1 = -5. To find the third term, we can substitute the values into the formula.

Step 1: Start with the first term: a1 = -5.
Step 2: Use the formula to find the second term: a2 = a1 + 30 = -5 + 30 = 25.
Step 3: Use the formula again to find the third term: a3 = a2 + 30 = 25 + 30 = 55. Therefore, the third term in the sequence is 55.