What is the sum of the first 100 terms of the arithmetic sequence 2, 7, 12, 17?

25452

Step-by-step explanation:

each term goes up by 5 so the formula is 2+5(n-1) where n is the term number

so the equation is ∑n=1 101 (2+5(n-1))

∑n=1 101 (5n-3) = 25452

let's solve your equation step-by-step.

4x+2=2x+12

step 1: subtract 2x from both sides.

4x+2−2x=2x+12−2x

2x+2=12

step 2: subtract 2 from both sides.

2x+2−2=12−2

2x=10

step 3: divide both sides by 2.

2x

2

=

10

2

x=5

step-by-step explanation: