The common difference

Find the common difference of an arithmetic progression (AP), whose 1st term is 5 and the sum of its 1st 4 terms is half the sum of the next four terms.

Correct answer:

d =  2

Step-by-step explanation:

a1=5 a1+a2+a3+a4=(a5+a6+a7+a8)/2  a1+(a1+d)+(a1+2d)+(a1+3d)=((a1+4d)+(a1+5d)+(a1+6d)+(a1+7d))/2  4a1 + 6d = (4a1+ 22d)/2  4a1+6d=2a1+11d 4 5+6d=2 5+11d  4 5+6 d=2 5+11 d  5d=10  d=510=2  d=2



Did you find an error or inaccuracy? Feel free to write us. Thank you!







Tips for related online calculators
Do you have a linear equation or system of equations and are looking for its solution? Or do you have a quadratic equation?

You need to know the following knowledge to solve this word math problem:

Related math problems and questions: