SOLUTION: -78 is which term of an arithmetic sequence whose common difference is -4 and whose first term is 6?

SOLUTION: -78 is which term of an arithmetic sequence whose common difference is -4 and whose first term is 6?

Algebra.Com

Question 244913: -78 is which term of an arithmetic sequence whose common difference is -4 and whose first term is 6?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
-78 is which term of an arithmetic sequence whose common difference is -4 and whose first term is 6?
-----------
a(n) = a(1) + (n-1)d
---
-78 = 6 + (n-1)(-4)
-84 = (n-1)(-4)
n-1 = 21
n = 22
---
The 22nd term is -78
====================
Cheers,
Stan H.
RELATED QUESTIONS
Find the nineteenth term of an arithmetic sequence whose first term is -52 and whose... (answered by natolino_2017)

Find the 21st term of an arithmetic sequence whose first term is 9x and whose common... (answered by mananth)

Find the 24th term of the arithmetic sequence whose common difference is 2 and whose... (answered by timvanswearingen)

find the 24th term of the arithmetic sequence whose common difference is d=2 and whose... (answered by ikleyn,greenestamps)

Find the first term and the common difference of the arithmetic sequence whose 7th term (answered by ikleyn)

How many terms must be added in an arithmetic sequence whose first term is 19 and whose... (answered by josgarithmetic)

Find the 11th term of an arithmetic sequence whose first term is 3x + y and whose common... (answered by ikleyn)

find 139th term of the arithmetic sequence whose first term is -28 and the common... (answered by ikleyn)

find the first term of arithmetic sequence with a common difference of 11 and whose 27th... (answered by Edwin McCravy)