calculus homework

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homework calculus

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1-Find the indicated term using the given information. a11 = 6, a18 = 20; a6 2-Find the indicated term using the given information. a = 7, d = - 1/8 ; a41 3-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 4-Find the indicated term using the given information. a16 = 88, a13 = 73; a1 5-Solve,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? Find the fifth term and the nth term of the geometric sequence whose initial term, a, and common ratio, r, are given. a =sqrt(3) ; r =sqrt(3) 6-Find the indicated term of the sequence. The ninth term of the arithmetic sequence 24, 19, 14, ... 7-Find the first term, the common difference, and give a recursive formula for the arithmetic sequence. 10th term is -11; 14th term is -51 8-Find the sum. 3 + 6 + 9 + ... + 294 9-Find the sum. -3 + 1 + 5 + 9 + 13 + ... + (4n - 7) 10-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 11-Find the indicated term of the sequence. The twenty-second term of the arithmetic sequence -15sqrt(3) , -19sqrt(3) , -23sqrt(3) 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 13-Find the first term, the common difference, and give a recursive formula for the arithmetic sequence. 9th term is -68; 15th term is -122 14-Find the indicated term using the given information. a48 = - 237/5 , a26 = -127/5 ; a3 15-Suppose you just received a job offer with a starting salary of $37000 raise of$1500 of$1025000 per year and a guaranteed per year. How many years will it be before you've made a total (or aggregate) salary ? 15-Find the nth term and the indicated term of the arithmetic sequence whose initial term, a, and common difference, d, are given. a = 4; d = -7 an = ?; a16 = ? 16-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 an = ?; a10 = ? 17-Find the first term, the common difference, and give a recursive formula for the arithmetic sequence. 7th term is 4; 13th term is 16 18-Find the indicated term using the given information. 12, 10, 8, ... ; a26 ,
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Explanation & Answer

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1-Find the indicated term using the given information.
a11 = 6, a18 = 20; a6

Let a1 be the first digit of the series and d be the difference;

a 11  a 1  10d
a 18  a 1  17d
a 18  a 11  7d  20  6  14
d 2
a 11  6  a 1  10  2
a 1  14
a 6  14  2  6  2

2-Find the indicated term using the given information.

a = 7, d = - 1/8

; a41

a 41  a  (41  1)d  7 

40
 75  2
8

3-Find the fifth term and the nth term of the geometric sequence whose initial term, a, and
common ratio, r, is given.
a = -6; r = -2

T n  ar n 1  6  (2) n 1
T 5  ar 51  6  (2) 4  96
4-Find the indicated term using the given information.
a16 = 88, a13 = 73; a1

a 16  88  a 1  87d
a 13  73  a 1  72d
15d  15
d 1
Thus , a1  1

5-Solve,A local civic theater has 22 seats in the first row and 21 rows in all. Each successive row contains 3
additio...


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