What is the 30th term of the arithmetic series 4, 7, 10, … ?

Step-by-step explanation:

Given : an arithmetic sequence 4, 7, 10,....

We have to find the 30th term of the given arithmetic series.

Consider the given arithmetic sequence 4, 7, 10,....

Here,

We first find the common difference (d),

Since, the difference between the terms are same so the common difference is 3.

The formula for the general term in an arithmetic series is given by

Where , n is the number i=of the term,

a is first term

d is common difference,

Since, we have to find the 30 th term,

So put n = 30 , d = 3  , a= 4

We have,

Simplify, we have,

Thus,

x=17

step-by-step explanation:

solve 3x-24=x+10

then that makes it 2x=34 because you subtract an x from both sides to get rid of the one on the right, and then you add 24 to both sides to get rid of the 24 on the left

divide by both sides by 2 to get your answer so that you can get your answer

$650 per month plus utilities

step-by-step explanation:

just based on the info you gave, it would seem more cost effective to rent at $650 per month plus utilities.   if utilities are, in fact, $150 per month, your monthly living costs would be $800 as opposed to the other option of $825.