How do you find the first five terms of the arithmetic sequence given #a_1=6# and d=-4?

1 Answer
Nov 15, 2016

Answer:

First five terms are #{6,2,-2,-6,-10}#

Explanation:

In an arithmetic sequence, starting from first term as #a_1# and common difference #d#, successive terms are obtained by adding #d# i.e. #a_2=a_1+d#, #a_3=a_2+d#, ........ ,#a_n=a_(n-1)+d#

Hence as #a_1=6# and #d=-4#

#a_2=a_1+d=6+(-4)=6-4=2#

#a_3=a_2+d=2+(-4)=2-4=-2#

#a_4=a_3+d=-2+(-4)=-2-4=-6#

#a_5=a_4+d=-6+(-4)=-6-4=-10#

Hence, first five terms are #{6,2.-2,-6,-10}#