Given the first 5 terms, write down the general term (a) 80,74,68,62,56… (b)3,1,13,19,127,… (c) 45,−811,1617,−3223,6429,…

Question

Given the first 5 terms, write down the general term    (a) 80,74,68,62,56…     (b)3,1,13,19,127,…    (c) 45,−811,1617,−3223,6429,…

trovabile4p · Accepted Answer

We are given the first terms and we have to find the general form    1)80,74,68,62,56…    a2−a=a3−a2=a4−a3=a5−a4    74−80=687−74=62−68=56−62    −6=−6=−6=−6    Hence, we have an=a+(n−1)d    80+(n+1)(−6)    80−6n+6=86−6n - general term, where n is positive integers

Palandriy0 · Accepted Answer

(b)3,1,13,19,127,…    Here d=13    Thus, the above terms are in AP    With first term =3 and common ratio =13    We get 3(13)n−1=9(13)n is the general form    (c) 45,−811,1617,−3223,6429,…    The general form is (−1)n−1(2)n+16n−1    Where n is positive integers

Given the first 5 terms, write down the general term (a) 80,74,68,62,56… (b)3,1,13,19,127,… (c) 45,−811,1617,−3223,6429,…

Answered question

Answer & Explanation