Pre calculus test

MAC 1147 TEST 5

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1. Given the arithmetic sequence 4, 9, 14, …..

A. Find the sum of the first 60 terms

B. formulate the first 60 terms in sigma notation

C. find the 90th term

2. Find the sum ∑ 4𝑛 + 550𝑛=1

3. For the geometric sequence 6, 18, 54, ….. 39366

A. formulate an B. Find the sum

C. Find the 12th term

4. In an arithmetic sequence, a6= 12 and a12= 42. Find a20.

5. In an arithmetic sequence, a1= 10 and a15= 66.

A. write the first 5 terms

B. Find a75.

6. In an arithmetic sequence, the 4th term is 8 and the 6th term is 18. Find the 5th term

7. In a geometric sequence, a1=8 and a4= 125. Find a6.

8. In a geometric sequence, the 4th term is 540 and the 8th term is 43740. Find the 5th term.

9. Find the sum 800, 400, 200,…..

10. Find the sum 5, 10, 20, …..

11. Write the general term and show your binomial expansion for ( x+ 2)3 . 2 points

12. Write the general term and show your binomial expansion for (x - 4)4 2 points

13. Write the general form and show your binomial expansion for (x + 5)5 2 points

14. Find the sum ∑ 5𝑥2 − 66𝑛=1

15. EXTRA CREDIT. 1 point

find the 8th term of the sequence (2x2 + y3)12