If the first term of a sequence is 5 and the tenth term is -58, what is the common difference? -3 -4 -5 -6 -7

Common difference of the sequence is -7.

Step-by-step explanation:

Given:

First term a = 5

Tenth term = -58

we need to find the common difference d.

Now let the number of terms will be 10 since tenth term is given;

Hence n =10

Now Using Arithmetic Progression formula we get;

Now Substituting the given values in the formula we get;

Hence Common difference of the sequence will be -7.