Question

If $a_1=1$ and $a_{n+1}-3a_n+2=4n$ for every positive integer n, then $a_{100}$ equals

• A. 3⁹⁹ – 200
• B. 3⁹⁹ + 200
• C. 3¹⁰⁰ – 200
• D. 3¹⁰⁰ + 200
• E. 3⁹⁹-100

Answer 1

The correct option is C 3¹⁰⁰ – 200

Option (c)

Write options as

a) $3^{n-1}-2n,$

b) $3^{n-1}+2n$,

c) $3^n-2n$,

d) $3^n+2n$,

e) $3^{n-1}-n$

Check for n = 1, $a_n$=1