Give the first six terms of the following sequences. You can assume that the seq

Dolly Robinson

Dolly Robinson

Answered question

2021-09-13

Give the first six terms of the following sequences. You can assume that the sequences start with an index of 1.
1) An arithmetic sequence in which the first value is 2 and the common difference is 3.
2) A geometric sequence in which the first value is 27 and the common ratio is 13

Answer & Explanation

Pohanginah

Pohanginah

Skilled2021-09-14Added 96 answers

1)
The value u1=2
Common difference= 3
use the formula
un=u1+(n1)d
Replace u1=2, d=3
un=2+(n+1)3
3n3+2
un=3n1 n=1 u1=2
n=2 u2=5
n=3 u3=8
n=4 u4=11
n=5 u5=14
n=6 u6=17
2)
a= first term= 27
γ= common ration= 13
We know the formula
an=aγn1
Replace a=27, γ=13
an=27(13)n1
an=(3)3(13)n1 an=333(n1)
an=34n a1=27, a2=9, a3=3, a4=0, a5=13,a6=19

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