Which of the following represents the general term of the sequence 2 1 3 5 6 12 20 30 42 56 7 9 ? 11 13 A. (-1)+1 n(n+1) P B. (-1)+1(n+1) n C. (-1)+1²+1 D. (-1)+1²+1 28-1 E. (-1)+1 2n-1 F. (-1)+1+1

Q: ind b3 for the sequence generated by the sequence br+1 = 3b,, bo = 2. A) 27 В) 54 C) 6 D) 162 For…

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Q: 1. Find a formula for the sum: 2+ 6+ 10 ... + 2(2n - 1)

A: The given sequence is 2+6+10+... +2(2n–1).

Q: Which of the following equations describes the nth term for the sequence O (3) -1(9)*** 4 1 1 1…

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Q: Evaluate the sum 5+10+20+40+80+...+320, and enter its numerical value.

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Q: Consider sum 1+5+9+13+...+81 what is a6

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Q: What is the 9th term of the sequence ªn =(−1)²”(n − 10), a

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Q: If all tems except ys of the sequence Y1, Y2» Y3»….. Y9 be given , show that the value of y5 is 56…

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Q: For the sequence -27, – 12, 3, 18, ..., the expression that defines the nth term where a, = -27 is…

A: A sequence is a function from natural number to real numbers. It is denoted by {an} where…

Q: What is the missing term in the sequence? 5, 11, 23, 47, Select one: a. 125 O b. 95 O c. 105 d. 115

A: Solution: Given sequence, 5, 11, 23, 47,......

Q: Find the first five terms of the sequence. ao = 3 a, = 4 an=- 4an – 1- 2an - 2 O 3, 4, 17, -46, 192…

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Q: N + 1 aN N° + 1 is monotonic. Show that the sequence

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Q: Consider the sequence -11, -6, -1, 4, ..., 5n — 1. a. How many terms are there in the sequence? b.…

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Q: If the sum 5+ 5(3)+5(3)² +...+5(9)* =5465 then the value of k is (a) 5 (b) 6 (c) 3 (d) 4

A: We know that 1+a+a2+a3+…+an-1=an-1a-1, if a≠1

Q: ? For the sequence 2, 8, 32, ...; Write the formula for the general term and use it to find ts

A: To find the general term and 8th term  of the given sequence :-

Q: Find the terms of the sequence an (-1)"2 = n2 a1 a2 || a3 || a 20 a 100 ☐

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Q: Let bo, b,, b2, ... be the sequence defined by the explicit formula b, = C. 6" + D(-5)^ for each…

A: Substitute 0 and 1 in the given expression to obtain the values of C and D,

Q: Which of the following would be divisible by 7? (A) x+ 7 (B) 7x + 1 (C) 14x + 21 (D) 77x +11 O A О в…

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Q: sequences, in the form t(n) = a(b)" b) 3, -18, 108, –648, .. equation

A: We will look each term closely to find the explicit equation for the sequence.

Q: Q: The sum of the third and seventh terms of an A.P.is 6 and their product is 8. Find the sum of…

A: We know that  nth term of A.P is (an)=a+(n-1)d And sum of the terms (Sn)=n/2(2a+(n-1)d)

Q: 1.1 1 2 222 1 210 Find the sum of 2.

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Q: Find the limit of the sequence: 3n? + 9n + 9 An 2n2 + 2n + 1

A: To find:-