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exis [7]
3 years ago
7

Find the first five terms of the sequence. an=-n2+2n

Mathematics
2 answers:
dedylja [7]3 years ago
8 0

Answer:

The first five terms of the given sequence is 1, 0, -3, -8, -15

Step-by-step explanation:

Given: nth term of sequence a_n=-n^2+2n

We have to find the first five terms of the given sequence,

Consider the given nth term of sequence a_n=n^2+2n

Substitute n = 1 ,

we get, a_1=-(1)^2+2=-1+2=1

Substitute n = 2 ,

we get,  a_2=-(2)^2+2(2)=-4+4=0

Substitute n = 3,

we get, a_3=-(3)^2+2(3)=-9+6=-3

Substitute n = 4 ,

we get  a_4=-(4)^2+2(4)=-16+8=-8

Substitute n = 5 ,

we get  a_5=-(5)^2+2(5)=-25+10=-15

Thus, first five terms of the given sequence is 1, 0, -3, -8, -15

Julli [10]3 years ago
3 0

If your sequence is this

an =   - {n}^{2}  + 2n \\ then \\ a1 =  - 1 + 2 = 1 \\ a2 =  - 4 + 4 = 0 \\ a3 =  - 9 + 6 =  - 3 \\ a4 =  - 16 + 8 =  - 8 \\ a5 =  - 25 + 10 =  - 15

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