Question

If the third term in an arithmetic sequence is 7 and the common difference is -5, what is the value of the fourth term?

Answer 1

Answer: 12 would be your answer.

Step-by-step explanation:

Answer 2

The is Answer:

82

Explanation:

We observe that difference between first and second terms =12−5=7
Similarly difference between second and third terms =19−12=7

It shows that the given sequence of numbers is an arithmetic progression with common difference equal to 7.

We know that nth term of an AP whose first term is a1 and whose common difference is d is given by 
an=a1+(n–1)d

To find the 12th term, insert given values in the general expression
a12=5+(12–1)7
a12=5+(11)7=5+77=82