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Math problems related to arithmetic and geometric sequences, finding common differences and ratios, sums, infinite series, and binomial coefficients. It includes exercises for finding terms and sums, as well as using mathematical induction to prove statements.
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Math 1521 AS ( College Algebra ),WEB
Some Review Problems Sheet #
Topics: 17.1,17.
1.a.Find the 13
th term of the Arithmetic sequence :
b. Find the 9
th term of the Geometric sequence:
a. Find the common Difference d.
b. Find the twenty-fourth term, a 24
c. Find the sum, S 36 ,of the first 36 terms.
whose sum of the first 12 terms, is 246 and whose twelfth term , is 37.
a 1 ,
S 12 (^) , a 12
i. Find the common ratio, r.
ii. Find the sixth term, a 6
iii. Find the sum, S 8 of the first eight terms
iv. Find the infinite sum, S ∞if it exists.
2 S (^) n + + + n − n + = n n + n −
a. Write the statement Sk
b. Write the statement Sk + 2
holds true for all positive integers n.
: 1 + 2 + 3 + 4 +......................+ = n +
n S (^) n n
a. Write the statement S 1
b. Write the statement Sk
c. Write the statement Sk + 1
⎠
6 18 x y
2 2 12 x + y