A sequence is said to be decreasing sequence if Vn 21 ....... 'n+1 .a O .b O n+ 1 n Sn+12n.c O O p "sz'+"s

Q: A sequence is said to be decreasing sequence if Vn > 1 'n+1°n =S .a .b O n+1 2n.cO n+1 n+1d0 n

A: Option (d) is correct.

Q: A sequence that consists of only n positive integers is known as an infinite sequence. O True False

A: Given that statement

Q: A sequence that consists of only n positive integers is known as an infinite sequence. O False True

A: We have to check whether the given statement is true or false, "A sequence that consists of only n…

Q: A sequence is said to be decreasing sequence if ..... Vn>1 .a n+1 .b s 2s n-n+1 .C n+12s. .d =S n+1

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Q: Use the difference an+1 an to show that the sequence | {n – 7"} is strictly increasing or strictly…

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Q: n2 The limit of the sequence 2n + 1 2n 1 Select one: a. None of the choices -1 2. d. 1/4 a. 15

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Q: Let (s) be a sequence of real number, we say s, is Decreasing if for each nEN Sn >Sn+1

A: Given a statement

Q: Consider the following sequence: +0 4" {an} = n=1 An+1 Use the ratio to show that the given sequence…

A: The given sequence is  an=4n3n2n=1+∞

Q: A sequence is said to be decreasing sequence if Vn >1 2n.a O n+1 'n²³n+1·bO n+ n+1dO n+ 1

A: Given a statement

Q: Use the difference an+1 – an to show that the sequence {n – 11"}t n=1 is strictly increasing or…

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Q: Which of these is a formula that can be used to determine the nth term of the arithmetic sequence…

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Q: Determine which of the items is true. a. The sequence {3¯"}is increasing and bounded. b. The…

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Q: 12 Indicate a general rule for the nth term of this sequence. 6m, 3m, 0, -3m, -6m, . . . a n =…

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Q: Which fünction defines the sequence -6,-10,-14,–18,.., where f(6) = -26? 1) f(x) =-4x - 2 2) (x) =…

A: Given -6, -10, -14, -18 ....

Q: from the formula for sn, n≥ 1. 8 a 2¹ +1 b) find the first five terms of the sequence 2n 2n + 1 n-1…

A: We need to find first five terms of the given sequence.

Q: Suppose I choose two numbers from the set {1, 2, 3,... 100}. How many have an even sum? Show all…

A: Hello. Since your question has multiple parts, we will solve first question for you. If you want…

Q: lease solve for e, The sequence is 1,3,6,9,12,15,... t

A: (e) Given,                      f(x)=1+x+x2(1-x)2

Q: If all tems except ys of the sequence y1 Y2» Y3. Y9 be given , show that the value of ys is 56 (y4 +…

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Q: Find the first five terms and the Sn of each of the defined sequence. 1. 3n+1 3. n2 +5n +6 mot 3-2n…

A: Since you only ask questions 2,3&4 so not answer question 1 Given Sn of the each the defined…

Q: A sequence is said to be an increasing sequence if n+1 n+1 Sn2Sn+1 c O n+1

A: I will use the definition of increasing sequence.

Q: = 1, and that For the sequence a1, a2, . .., an, ... , assume that a1 1 аn+1 2 = 1, a2 = 2 + An for…

A: Solution: Step 1: Given that the sequence, an+2=12an+1+2an,  a1=1 ,a2=1 Substitute n=1 in given…

Q: Find the first three terms of the sequences whose n th term is given. S n = A B C E (- S 1 S 1) ¹ +…

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Q: 5 Fn+1 3 F,. Compute R6 Define a Sequence R,

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Q: - Suppose Suppose an = n² +n + 7. Find a closed formula for the sequence of differences by computing…

A: Given, an = n2 +n +7We have to find  an-an-1

Q: Help with this one please

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Q: an-1. 9. A sequence is defined by the rule a, = a = 20. Find the value of a, . +n with i=1

A: We have to find the sum of sequence

Q: Find the first three terms of the sequence whose n th term is given. S n == A B C D 8 E n S S 1 1 S…

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Q: Given the arithmetic sequence of 4, 2, 0, -2, . .fund an explicit rule for the nth term. O an = an 1…

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Q: ;Which sequence is increasing ? 7n-21 4n -7n+2 4n 4n+2 7n 7(-1)" 4 None of the others

A: We need to determine which sequence is increasing.

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.