계산력 문제

정답

Ⅲ. 수열

등차수열과 등비수열

1. (1) [eqn: a _{n} =5n-14]

(2) [eqn: a _{n} =-3n+10]

(3) [eqn: a _{n} =4n-15]
(4) [eqn: a _{n} =6n+17]

(5) [eqn: a _{n} =-5n+2]

(6) [eqn: a _{n} =-7n+49]

2. (1) 제[eqn: 6]항	(2) 제[eqn: 13]항

(3) 제[eqn: 8]항	(4) 제[eqn: 10]항

3. (1) [eqn: x=8,~y=0]

(2) [eqn: x=-15,~y=-3]

(3) [eqn: x=13,~y=2]
(4) [eqn: x=-21,~y=-9]

4. (1) [eqn: 286]	(2) [eqn: 100]	(3) [eqn: -36]	(4) [eqn: 81]

5. (1) [eqn: a _{n} =4n+3]

(2) [eqn: a _{n} =-6n+4]

(3) [eqn: a _{1} =-1,~a _{n} =2n-5``` LEFT ( n GEQ 2 RIGHT )]
(4) [eqn: a _{1} =8,~a _{n} =-4n+8``` LEFT ( n GEQ 2 RIGHT )]

6. (1) [eqn: a _{n} =7times2 ^{n-1}]

(2) [eqn: a _{n} =243times LEFT ( - {1} over {3} RIGHT ) ^{n-1}]

(3) [eqn: a _{n} =4times LEFT ( - sqrt {3} RIGHT ) ^{n-1}]
(4) [eqn: a _{n} =512times LEFT ( {3} over {4} RIGHT ) ^{n-1}]

(5) [eqn: a _{n} = {3} over {25} times LEFT ( -5 RIGHT ) ^{n-1}]

(6) [eqn: a _{n} =3times LEFT ( 2 sqrt {2} RIGHT ) ^{n-1}]

7. (1) [eqn: a=14,~b=56]

(2) [eqn: a= {4} over {3} ,~b= {4} over {27}]

8. (1) [eqn: 3]	(2) [eqn: 7]

9. (1) [eqn: 2 ^{11} -2]	(2) [eqn: 27 LEFT ( 1- {1} over {3 ^{10}} RIGHT )]

(3) [eqn: 2 LEFT ( 3 ^{10} -1 RIGHT )]	(4) [eqn: 12 LEFT ( 1- {1} over {2 ^{10}} RIGHT )]