Reference no: EM131117969

1. Find the sum.

_n=1∑⁴⁰ (-2n + 7)

-1120
-1260
-1320
-1360

2. Find the fifth term and the nth term of the geometric sequence whose initial term, a, and common ratio, r, are given.
a = √3; r = √3

a₅ = 9 , an = 3^n/2
a₅= 243, an = 3ⁿ

a₅= 3 , an = 3^n/2-1

3. Find the sum.

_{n= 1}∑¹⁰ (3.4n + 8.75)

42.75
192.4
231.75
274.5

4. Find the first term, the common difference, and give a recursive formula for the arithmetic sequence.

10th term is -11; 14th term is -51
a1 = 79, d = 10,  an = an-1 + 10
a1 = 79, d = -10,  an = an-1 - 10
a1 = 89, d = -10,  an = an-1 - 10
a1 = 89, d = 10,  an = an-1 + 10

5. Find the indicated term using the given information.

12, 10, 8, ... ; a26

-40
64
-38
62

6. Find the indicated term using the given information.

a₁₁ = 6, a₁₈ = 20; a₆

-14
2
-4
-2

7. Find the fifth term and the nth term of the geometric sequence whose initial term, a, and common ratio, r, are given.

a = 4; r = 3π

a₅ = 972π⁵, a_n = 4 · 3ⁿπⁿ
a₅ = 324π⁴, a_n = 4 · 3^n-1π^n-1
a₅ = 4 + 12π, a_n = 4 + 3π(n-1)
a₅ = 324π, a_n = 4 · 3^n-1π

8. Find the first term, the common difference, and give a recursive formula for the arithmetic sequence.

9th term is -68; 15th term is -122

a₁ = 4, d = 9,  a_n = an-1 + 9
a₁ = 4, d = -9,  a_n = an-1 - 9
a₁ = 13, d = -9,  a_n = an-1 - 9
a₁ = 13, d = 9,  a_n = an-1 + 9

9. Find the nth term and the indicated term of the arithmetic sequence whose initial term, a, and common difference, d, are given.
a = -3; d = 3
a_n = ?;  a₁₀ = ?

a_n = -6 + 3n;  a₁₀ = 24
a_n = -3 + 3n;  a₁₀ = 24
a_n = -6 + 3n;  a₁₀ = 36

10. Find the indicated term of the sequence.

The ninth term of the arithmetic sequence 24, 19, 14, ...

-21
64
-16
-40

11. Find the nth term and the indicated term of the arithmetic sequence whose initial

a = 4; d = -7

a_n = ?;  a16 = ?
a_n = 11 - 7n;  a₁₆ = -101
a_n = 11 - 7n;  a₁₆ = -52
a_n = 11 + 7n;  a₁₆ = -101
a_n = 4 - 7n;  a₁₆ = -101

12. Find the first term, the common difference, and give a recursive formula for the arithmetic sequence.

6th term is -10; 15th term is -46

a1 = 10, d = -4,  an = an-1 - 4
a1 = -30, d = 4,  an = an-1 + 4
a1 = 10, d = 4,  an = an-1 + 4
a1 = -10, d = -4,  an = an-1 - 4

13. A local civic theater has 22 seats in the first row and 21 rows in all. Each successive row contains 3 additional seats. How many seats are in the civic theater?

1070 seats
790 seats
1092 seats
1010 seats

14. Find the first term, the common difference, and give a recursive formula for the arithmetic sequence.

7_th term is 4; 13_th term is 16

a₁ = -8, d = 2,  a_n = a_n-1 + 2
a₁= -8, d = 2,  a_n = a_n-1 - 2
a₁= -10, d = 2,  a_n = a_n-1 + 2
a₁ = -10, d = 2,  a_n = a_n-1 - 2

15. Find the sum.

-3 + 1 + 5 + 9 + 13 + ... + (4n - 7)

n(4n + 7)
n(2n + 5)
n(2n - 5)
n(4n - 7)

16. Find the fifth term and the nth term of the geometric sequence whose initial term, a, and common ratio, r, are given.

a = -6; r = -2

a₅ = -96;  a_n= -6 · (-2)ⁿ
a₅ = -96;  a_n= -6 · (-2)^n-1
a₅ = 48;  a_n= -6 · (-2)^n-1
a₅ = 48;  a_n = -6 · (-2)ⁿ

17. Find the indicated term using the given information.

a₁₆ = 88, a₁₃ = 73;  a1
5
23
18
13

• Annuities or Lump Sums?

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You have just won a 300 million dollar Power Ball jackpot. Based on your individual state and federal taxes, which option (annuity or lump sum) do you think better and why?

Be sure to research both options before posting your opinion on which is financially more rewarding.