Arithmetic and Geometric Sequence
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1.) Find the value of a_3 if:
a. n = 3 and a_n = 2n - (3/n)
b. n = 3 and a_n = 2 (n - 3)
2.) Find the value of:
6!/3!
3.) Find the value of the following expression:
2
Σ3i
1
4.) Find the value of:
3
Σ(3i+1)
1
5.) Find the value of a_n if:
n = 2, a_1 = 4, and a_n = a_n-1 + 1
6.) What is the sum of the first 15 terms in the geometric sequence 2, 4, 8 ...?
7.) What is the sum of the first 50 natural numbers?
8.) If a = 4 and r = 2, what are the first four terms of the geometric sequence?
9.) If a = 4 and d = - 2, what are the first four terms of the arithmetic sequence?
12.) A theater has 30 seats in the first row, 32 seats in the second row, increasing by two seats per row for a total of 26 rows. How many seats are there in the theater?
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