Name_______________________________________________ Date ___________________ Period __________ Row________ Pre Calculus Chapter 10 Quiz REVIEW 9 13 17 21 Write the first five terms of the sequence whose general 7) , , , , ... term is given. 2 2 2 2 1) an = 3n - 3
Write the first five terms of the arithmetic sequence. 8) a1 = -31; d = 8 Write the first four terms of the sequence defined by the recursion formula. 2) a1 = 1 and an = an-1 - 4 for n ≥ 2
Evaluate the factorial expression. 12! 3) 6!6!
Write a formula for the general term (the nth term) of the arithmetic sequence. Do not use a recursion formula. Then use the formula for an to find the indicated term of the sequence. 9) Find a9; 0, 12, 24, . . .
4)
(n + 2 )! n+2 10) Find a40; an = an - 1 + 8, a1 = -18
Find the indicated sum. 5 5) ∑ (i + 12) i=1
Find the indicated sum. 11) Find the sum of the first 70 terms of the arithmetic sequence: -2, 3, 8, 13, ...
Use the formula for the sum of the first n terms of an arithmetic sequence to find the indicated sum. 32 12) ∑ (6i + 1) i=1
Find the common difference. 6) 1, 0, -1, -2, ...
1
If the given sequence is a geometric sequence, find the common ratio. 13) 4, -12, 36, -108, 324
14)
Find the indicated sum. Use the formula for the sum of the first n terms of a geometric sequence. 5 19) ∑ 2(4)i i=1
1 1 1 1 , , , 7 10 13 16 Find the sum of the infinite geometric series. 3 3 20) 3 + + + ... 4 16
Write the first five terms of the geometric sequence. 15) a1 = 6; r = 3
21)
1 1 3 - + + ... 6 2 2
Use the formula for the general term (the nth term) of a geometric sequence to find the indicated term of the sequence with the given first term, a1, and common ratio, r. 16) Find a11 when a1 = -5, r = -3. The general term of a sequence is given. Determine whether the sequence is arithmetic, geometric, or neither. If the sequence is arithmetic, find the common difference; if the sequence is geometric, find the common ratio. 22) an = 3n - 2
Write a formula for the general term (the nth term) of the geometric sequence. 17) 4, 8, 16, 32, 64
4 n 23) an = 3 Use the formula for the sum of the first n terms of a geometric sequence to solve.
24) an = 2n 2
18) Find the sum of the first 8 terms of the 1 geometric sequence: , 1, 2, 4, 8, ... . 2
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