# I need to find the sum of the terms of the series 4+7+10+.....+22

I need to find the sum of the terms of the series 4+7+10+.....+22
You can still ask an expert for help

• Questions are typically answered in as fast as 30 minutes

Solve your problem for the price of one coffee

• Math expert for every subject
• Pay only if we can solve it

Karla Bautista
It is the sum of an arithmetic progression (series) with first term
${a}_{1}=4$ and ratio r=3
The sum is
${S}_{7}=\frac{7}{2}\cdot \left({a}_{1}+{a}_{7}\right)=\frac{7}{2}\cdot \left(4+22\right)=7\cdot 13=91$