1. Find the third term of the sequence a n = 8 n + 1. Select the correct answer. 1234567891011121314151617181920 2122232425262728293031323334353637383940 41424344454647484950 1.a 3 = 25 2.a 3 = 1 3.a 3 = 8 4.a 3 = 24

2. Find the partial sum S 5 of the sequence 7, -7, 7, -7,... Select the correct answer. 1234567891011121314151617181920 2122232425262728293031323334353637383940 41424344454647484950 1.S 5 = 7 2.S 5 = 0 3.S 5 = 14 4.S 5 = - 7

3. Write the following sum using sigma notation. 5 + 10 + 15 + 20 +... + 125 Select the correct answer. 1234567891011121314151617181920 2122232425262728293031323334353637383940 41424344454647484950 1.2. 3.4.

4. The 30th term of an arithmetic sequence is 61, and the common difference is 2. Find a formula for the nth term. Select the correct answer. 1234567891011121314151617181920 2122232425262728293031323334353637383940 41424344454647484950 1.3 + 2(n - 1) 2.3 + 2(n) 3.2 + 3(n - 1) 4.2 + 3(n + 1)

5. 1234567891011121314151617181920 2122232425262728293031323334353637383940 41424344454647484950 1.10 78 2.1,560 3.780 4.10 1,560

6. The first term of a geometric sequence is 12, and the second term is 3. Find the fifth term. Choose the answer from the following : 1234567891011121314151617181920 2122232425262728293031323334353637383940 41424344454647484950 1. 2. 3.

7. 1234567891011121314151617181920 2122232425262728293031323334353637383940 41424344454647484950 1. 2. 3.

8. Find the amount of an annuity that consists of 9 monthly payments of $200 each into an account that pays 9% interest per year, compounded monthly. Choose your answer from the following: 1234567891011121314151617181920 2122232425262728293031323334353637383940 41424344454647484950 1.$1,855 2.$40,783 3.$150 4.$185

9. A woman wants to borrow $10,000 in order to buy a car. She wants to repay the loan by monthly installments for 7 years. If the interest rate on this loan is 9% per year, compounded monthly, what is the amount of each payment? Choose your answer from the following: 1234567891011121314151617181920 2122232425262728293031323334353637383940 41424344454647484950 1.$161 2.$49 3.$26 4.$278

10. An item at a department store is priced at $120 and can be bought by making 24 payments of $5. Find the interest rate, assuming that interest is compounded monthly. Choose your answer from the following: 1234567891011121314151617181920 2122232425262728293031323334353637383940 41424344454647484950 1.9% 2.14% 3.7% 4.16%

11. 1234567891011121314151617181920 2122232425262728293031323334353637383940 41424344454647484950 1.(for m = 1) 1=2 1 - 1 it’s true 2.let for m = p it is true 1 + 2 + 2 2 + 2 3 +... + 2 p - 1 = 2 p-1 3.Prove for m = p + 1 : 1 + 2 + 2 2 + 2 3 +... + 2 p - 1 + 2 p = 2 p + 1 - 1 4.None of these choices

12. Show that 9 n - 2 n is divisible by 7 for all natural numbers n. Choose the third step of the proof from the following: 1234567891011121314151617181920 2122232425262728293031323334353637383940 41424344454647484950 1.(for n=1) : 9 1 - 2 1 = 7 is divisible by 7 2.let for n = p : 9 p - 2 p is divisible by 7 3.prove for n = p + 1 : 9 p + 1 - 2 p + 1 is divisible by 7 4.None of these choices

13. Find the first three terms in the expansion of (x + 4 y) 16. Choose the correct answer from the following: 1234567891011121314151617181920 2122232425262728293031323334353637383940 41424344454647484950 1.x 16 + 64x 15y + 1,920 16 14y 2 2.x 16 + 16x 15 16 + 120x 14y 2 3.x 16 + 64x 15y + 480x 14y 2