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漸化式②

Total questions: 10

Worksheet time: 5mins

Name
Class
Date
1.

a1=1a_1=1an+1=2an+5a_{n+1}=2a_n+5 の第2項から第5項を求めます。

まず、第2項を答えてください。

(a)  

2.

a1=1a_1=1an+1=2an+5a_{n+1}=2a_n+5 の第3項は?

(a)  

3.

a1=1a_1=1an+1=2an+5a_{n+1}=2a_n+5 の第4項は?

(a)  

4.

a1=1a_1=1an+1=2an+5a_{n+1}=2a_n+5 の第5項は?

(a)  

5.

a1=3a_1=3an+1=an+2a_{n+1}=a_n+2 の一般項は?

a)

an=2n1a_n=2^{n-1}

b)

an=2na_n=2^n

c)

an=2n+1a_n=2n+1

d)

an=2na_n=2n

6.

a1=5a_1=5an+1=an4a_{n+1}=a_n-4 の一般項は?

a)

an=(4)n1a_n=\left(-4\right)^{n-1}

b)

an=5n1a_n=5^{n-1}

c)

an=5n9a_n=5n-9

d)

an=4n+9a_n=-4n+9

7.

a1=5a_1=5an+1=3ana_{n+1}=-3a_n の一般項は?

a)

an=5n8a_n=5n-8

b)

an=3n+8a_n=-3n+8

c)

an=35n1a_n=-3\cdot5^{n-1}

d)

an=5(3)n1a_n=5\left(-3\right)^{n-1}

8.

a1=2a_1=2an+1=7ana_{n+1}=7a_n の一般項は?

a)

an=27n1a_n=2\cdot7^{n-1}

b)

an=72n1a_n=7\cdot2^{n-1}

c)

an=7n5a_n=7n-5

d)

an=2n+5a_n=2n+5

9.

a1=2a_1=2an+1=an+5na_{n+1}=a_n+5^n の一般項は?

a)

an=5n+34a_n=\frac{5^n+3}{4}

b)

an=5n+24a_n=\frac{5^n+2}{4}

c)

an=5n+1+34a_n=\frac{5^{n+1}+3}{4}

d)

an=5n1+34a_n=\frac{5^{n-1}+3}{4}

10.

a1=2a_1=2an+1=an+4n+3a_{n+1}=a_n+4n+3 の一般項は?

a)

an=3n2+4na_n=3n^2+4n

b)

an=(2n1)(n+1)a_n=\left(2n-1\right)\left(n+1\right)

c)

an=4n2+3na_n=4n^2+3n

d)

an=2n2+n1a_n=2n^2+n-1