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Question Number 210630 by peter frank last updated on 14/Aug/24

Answered by mm1342 last updated on 14/Aug/24

a_n =a+(n−1)d   &  b_n =2^(n−1) g  c_n =a_n +b_n  &  c_1 =57  &  c_3 =171  & c_5 =645  ⇒a+g=57    &   a+2d+4g=171  &  a+4d+16d=645  ⇒a=17  &  d=−3  &  g=40  ⇒c_n =40×2^(n−1) −3n+20 ✓

an=a+(n1)d&bn=2n1gcn=an+bn&c1=57&c3=171&c5=645a+g=57&a+2d+4g=171&a+4d+16d=645a=17&d=3&g=40cn=40×2n13n+20

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