# Next four terms in the arithmetic sequence: 12, 16, 20,...

Next four terms in the arithmetic sequence: 12, 16, 20,...
You can still ask an expert for help

• Live experts 24/7
• Questions are typically answered in as fast as 30 minutes
• Personalized clear answers

Solve your problem for the price of one coffee

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

Yaritza Cardenas
We know that in an arithmetic progression we have ${a}_{1}=12,{a}_{2}=16,{a}_{3}=20$ and we're looking for ${a}_{4}$. In a arithetic sequence the common difference is given by
$d={a}_{i}-{a}_{i-1}$
for 'any working i.'
So:
$d={a}_{3}-{a}_{2}=20-16=4$
or as well
$d={a}_{2}-{a}_{1}=16-12=4$
Now simply
${a}_{4}={a}_{3}+d=20+4=24$

We have step-by-step solutions for your answer!