Solution to Write the first 4 terms of the following formula, start with n = 1. an … - Sikademy
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Write the first 4 terms of the following formula, start with n = 1. an = 5n nbn = 3!bn = 3n bn = 3n^2 +2n - 6 gn = 1 × 2 × ... n c1 = 2.5, cn = cn-1 + 1.5 d1 = -3, dn = -2dn-1 + 1

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Given sequences are:-

1. a_n=5n\\

at n=1, a_1=5

Similarly a_2=10, a_3=15, a_4=20

First four terms are 5,10, 15, 20.


2.nbn = 3!bn = 3n bn = 3n^2 +2n - 6

at n=1

First term is 3(1)^2+2(1)-6=-1

Similarly other terms at n=2,3,4 are 10,27,50

First four terms are -1,10,27,50


3.g_n=1\times2..\times n

at n=1, g_1=1

Similarly at n=2,3,4

g_2=2,g_3=6,g_4=24


First four terms are 1,2,6,24


4.c_1=2.5, c_n=c_{n-1}+1.5

at n=2, c_2=c_1+1.5=2.5+1.5=4

at n=3, c_3=c_2+1.5=4+1.5=5.5

at n=4, c_4=c_3+1.5=5.5+1.5=7

First four terms are 2.5,4,5.5,7


5.d_1=-3,d_n=-2d_{n-1}+1

at n=2, d_2=-2d_1+1=-2(-3)+1=7

at n=3, d_3=-2d_2+1=-2(7)+1=-13

at n=4, d_4=-2d_3+1=-2(-13)+1=27

First Four terms are -3, 7, -13,27

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Question ID: mtid-5-stid-8-sqid-3378-qpid-2077