2.) write the sum using sigma notation. do not
evaluate.
1 • 2^3 + 2 • 2^4 + 3 • 2^5 + 4 • 2^6 +...+ 100 • 2^102
3.) expand the expression.
(1-x^2)^6
4.) Determine whether the expression is a partial sum
of an arithmetic or geometric sequence. Then find the sum.
1 + 0.9 + (0.9)^2 + ...+ (0.9)^5
SCOLALGZ Write the sum using sigma notation. 1 1 2 In(2) 3 In(3) 4 In(4) 1 1 5 In + + 5 In(5) 130 In(130) 130 k = 2 X Submit Answer
Q2-Σ Notation Review notation by investigating In this problem we will remind ourselves of 2k k O a) Consider the similar finite sum 2* k-0 Using n - 3, rewrite this expression in expanded form, and then evaluate it. b) Rewrite Expression (2) in expanded form for n-6, and then evaluate it c) Expression (2) becomes a better approximation to Expression (1) as n grows larger. To get an idea of what (1) is, evaluate (2) using n 100. Don't...
Expand the expression: (2x - 3) Preview 1 0 Question 12 P This is attempt of a) Consider the sequence: 8, 12, 16, 20 F ind the missing term above. Is this sequence arithmetic, geometric, or neither? b) Consider the sequence: 4, 16, 28, 40 Find the missing term above. Is this sequence arithmetic, geometric, or neither? c) Consider the sequence: 7, 12, 19, 28 Find the missing term above. Is this sequence arithmetic, geometric, or neither? d) Consider the...
DIRECTIONS: Show all of your work and write your answer in the space provided. MODIFIED TRUE/FALSE: If the statment is true, write true in the blank. If it is false, replace the underlined word(s) with the word(s) that will make the statement true. 1. A series that tends toward a single number is called a divergent series. 2. A series is the product of the terms in a sequence. 3. A(n) alternating geometric sequence switches between positive and negative values....
3 Write the following sum in sigma notation. ai 6 02 9, 12 03 04 x
7. F/5 Points] DETAILS LARCALCET75.2.012, Use sigma notation to write the sum. 7 4 + 1 + 7 4 + 2 + 7 4 + 3 + + 7 4 + 12 Σ i = 1 Submit Answer
Question Help The sum, Sp, of the firet n torms of an anthmotic sequenoe ia gvan by S, The sum, Sn, of the first n terms of an arithmetic sequence is ).in which a, is the fra tom ad , he nth tom, The sum S., f to f geometric sequenoe ia gven by $, 1 (1 terms of a geometric sequence is given by Sn , in which a, is the first term and r is the common ratio...
) Write the following series in sigma notation. Determine if the series converges and, if it does, find the sum of the series. 5−3 +9/ 5 −27/ 25+81/ 125 −...
11) Find the sum of the arithmetic series if a, = 5, 4, = -160, and n = 21. -4706 12) Find all the values of x and y for which 3, x, y is an arithmetic sequence and x, y, 8 is a geometric sequence. 222 222 13) Find the value of y that makes this a geometric sequence: y+1, y, y-4.
Write the first five terms of the geometric sequence defined recursively. Find the common ratio and write the nth term of the sequence as a function of n. (nth term formula: An = a1(r)-1) 1 a1 = 625, ak 11 = 5 -ak aj = a2 a3 = 04 = Preview 05 Preview r = Preview an = Preview Find the 6th of the geometric sequence: {64a( – b), 32a( – 36), 16a( – 96), 8a( – 27b), ...} an...