Question #779b2

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Answer 1 · 2017-11-08T12:35:33

Explicit formula of the sequence is #a_n=2.0+(n-1)1.5# and
#a_22= 33.5#

#a_8=12.5 , a_13=20 #

Common difference #d= (a_13-a_8)/(13-8)=(20-12.5)/5#

#:. d= 1.5 ; a_1=?# Explicit formula of the sequence is

#a_n=a_1+(n-1)d :.a_8=a_1+(8-1)1.5 =12.5# or

#a_1+10.5 =12.5 or a_1=12.5-10.5=2.0#

Hence explicit formula of the sequence is #a_n=2.0+(n-1)1.5#

#:. a_22= 2.0+(22-1)1.5= 2.0+21*1.5 =33.5# [Ans]