Give for each list (1) the likely 500th number and (2) an expression for the likely nth number. If the sequence is arithmetic, identify a and d. If the sequence is geometric, identify a and r. a. 8, 12, 16, 20, 24, . b. 2.3, 3.6, 4.9, 6.2, 7.5, . . . .. d. 3, 5, 6, 84, 10,.da sla f. 4,7, 9, 4, 7, 9, 4, 7, 9, . . . h. 2000, 1998.3, 1996.6, 1994.9, 1993.2,... c. 1, 1, 1, 1, 1, ... e. 100, 98, 96, 94, "92, . .. g. 1, 5, 25, 125, 625, 3125, . i. 3, 9, 27, 81, ... k. 16, 12, 8, 4, 0, ... a. Give the first five numbers in the arithmetic 1111 1 j. 1 2 4 8 16.. 1. 0.5, 0.75, 1, 1.25, 1.5, . . . b. Give the first five

Q: Find the explicit formula for the given sequence. 2, 8, 32, 128, ....​

A: SOLUTION-

Q: Write the first five terms of the sequence with the given nth term.  an = 3n

A: Here the n th  term of a sequence is an=3n Therefore we have to substitute the values of n to get…

Q: 3, 12, 21, 30,...

A: A geometric sequence, is a sequence of numbers where each term after the first is found by…

Q: D) Find, with explanation, a sequence with two different starting terms which contains 5 consecutive…

A: Let the sequence be 2, 4, 6, 10, 16 That is  a0=2a1=4a3=2+4    =6a4=4+6    =10a5=6+10    =16

Q: Find the first four terms of the sequence given by the following. a=57-7(n-1), n=1,2, 3...

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Q: Find the first four terms of the sequence given by the following. 4n an n = 1, 2, 3, ... 3n+2 0.000…

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Q: Find the first term of an arithmetic sequence if the 9th term is 72 and the common difference is 5.…

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Q: If the 3rd term of an arithmetic sequence is 18 and the 7th term is 38. Find the 10th term. Select…

A: Here, 3rd term, x3=18            7th term, x7=38 We need to find 10th term, x10

Q: For (a)and (b), determine whether the sequence is a Fibonacci-type sequence. If it is, determine the…

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Q: For the given geometric sequence. Find the sum of the first 6 terms of 3, -6, 12, ….

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Q: Find the number of terms in the arithmetic sequence with the given conditions.

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Q: Determine if the sequence is geometric, If it is, find the common ratio, the 8th term, and the…

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Q: The second term of a GP is 24 and the sixth term is 121.5, the first term of the sequence will be А.…

A: 1. The second term of a GP is 24 and the sixth term is 121.5.2. The given equation e5x=6

Q: Find the first four terms of the sequence given by the following. (-1)"*1 an п3D 1, 2, 3, ... %3D…

A: We have to find first four terms of the given sequence.

Q: Determine if the sequence if geometric. If it is, find the explicit formula for the nth term, and…

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Q: For each sequence, determine whether it appears to be arithmetic. If it does, find the common…

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Q: 4) Decide if the sequence is arithmetic, geometric, or neither. a) 1, 4, 9, 16, ... b) 10, 3, -4,…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Find the explicit formula for the given sequence. 2,8, 32, 128, ...

A:

Q: Determine whether the sequence is geometric. If so, find the common ratio. -1, -3, -5, -7,...

A: A geometric sequence is the one in which ratio of two consecutive terms is same and that ratio is…

Q: . a, = 4 anei a, a,-1

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Q: The second term of a GP is 24 and the sixth term is 121.5, the first term of the sequence will be A.…

A: We will find out the required value.

Q: For each sequence, decide whether it could be arithmetic,geometric,or neither 1.100,20,4 2.6,12,18

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Q: Find the common ratio and S, for geometric sequence 27, 9, 3.

A: To find the common ratio and S5 for a given geometric sequence

Q: -For each sequence, decide whether it could be arithmetic, a. 25, 5, 1, ... b. 25, 19, 13, ... c. 4,…

A: Given: a)  25,  5,  1,  ...b)  25,  19,  13,  ...c)  4,  9,  16,  ...d)  50,  60,  70,  ...e)  12,…

Q: Find the explicit formula for each of following sequence: а) -31, -14, 3, 20, 37, 54, b) 1/5, 1/25,…

A: Given: a)-31,-14,3,20,37,... b)1/5,1/25,1/125,1/625,... c)17,10,3,-4,-11,-18,.... As per our…

Q: For the given geometric sequence. Find the sum of the first 5 terms of 4, 12, 36,…

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Q: Find a, and r for a geometric sequence {a, from the given information. a, =24 and as=648

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Q: If the given sequence is a geometric sequence, find the common ratio. 4/3, 8/3, 16/3, 32/3, 64,3

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Q: For each of the following, determine: • If the sequence is arithmetic, geometric, or other by using…

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Q: Find the 9th, 24th, and nth terms of the arithmetic sequence. a, a + 5, a + 10, ... ag = a24 = an =

A: Given arithmetic sequence is  a, a+5, a+10, ..... where  first term = acommon difference d =…

Q: For each sequence, determine whether it appears to be arithmetic. If it does, find the common…

A:

Q: Determine if the sequence is geometric. If it is, find the common ratio. 1) -1, 6, –36, 216, ... 2)…

A: Geometric series when common ratios of consecutive numbers are equal

Q: 2, 10, 50, 250, .

A:

Q: Determine if the sequence is geometric. If it is, find the common ration, the 8th term, and the…

A: This question is related to sequence and series, We will solve it using given information.

Q: For each sequence, determine whether it appears to be arithmetic. If it does, find the common…

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Q: identify the next sequence of the given.  1,1,2,3,5,8,13,__

A: Given: 1,1,2,3,5,8,13,__       To determine: next term of the given sequence

Q: Find the first four terms of the sequence given by the following  a n =42-5(n-1), n=1,2,3

A: given the expression for common term of the sequence as, an = 42 - 5(n - 1)

Q: Find the number of terms in the arithmetic sequence with the given conditions.

A: Given: A sequence is arithmetic sequence in which a1=-2, d=14 and S=21. To find the number of terms…

Q: For the trihonacci type sequence begging 1,2,2 write the next five terms

A: To write the next five terms of the tribonacci sequence

Q: Find the explicit formula for each of following sequence: a) -31, -14, 3, 20, 37, 54, ... b) 1/5,…

A: Definition of Explicit formula:      An explicit formula directly calculates the term in the…

Q: The arithmetic sequence with a1=5 and d=4 _____,_____,_____,_____

A: Given: a=5,d=4

Q: Write the first four terms of the sequence, where n = 1,2,3, 4, . .. n3 an = 1+n² (A) 글, 음, 음, 몸 (B)…

A: Given  an = n31+n2 We have to find first four terms of the sequence.

Q: For each sequence, find a closed formula for the general term, an. 0,3,8,15,24,…,an=

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Q: Determine if the sequence is geometric. If it is, find the common ratio and the nth term. 5) -3,…

A: Given: -3, -15, -75, -375, ... are given sequenceTo identify whether the given sequence are in G.P.…

Q: For each sequence, determine whether it appears to be arithmetic, geometric, or neither. Arithmetic…

A: 1. The given sequence is 4000, 400, 40, 4, . . . Let t1=4000, t2=400, t3=40, t4=4, . . . By using…

Q: identify the next sequence of the given.  1,4,8,16,32,___

A: The given sequence is  1,4,8,16,32,___

Q: If the sequence 1, 0.3, 0.09, 0.027 is a geometric sequence, find the sum of the first five terms.

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Q: For each sequence, determine whether it appears to be arithmetic, geometric, or neither. O…

A: To find the correct option

Q: Find the first four terms of the sequence given by the following. a, =2(3)"', n=1, 2, 3.

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Q: Find as for the sequence defined by an 2ап-1 + 3, ао :1 (A) 11 (В) 29 (C) 61 (D) 17

A: