Insert seven numbers between 2 and 34, such that the resulting sequence including 2 and 34 is an arithmetic progression....

Question

Insert seven numbers between 2 and 34, such that the resulting sequence including 2 and 34 is an arithmetic progression. The sum of these inserted seven numbers is ______.

A. 120
B. 126
C. 126
D. 130

Accepted Answer

The sum of the seven inserted numbers is 126. Answer: C. 126. When 7 numbers are inserted between 2 and 34, the full sequence has 9 terms (2 at each end plus 7 in between). This 9-term AP has first term 2 and last term 34. The sum of all 9 terms can be computed from the AP sum formula. Subtracting the first and last terms (2 and 34) gives the sum of the 7 inserted terms.

Insert seven numbers between 2 and 34, such that the resulting sequence including 2 and 34 is an arithmetic progression. The sum of these inserted seven numbers is ______. A. 120 B. 126 C. 126 D. 130