An arithmetic sequence has first term P0 = 12 and common difference d = 3. (a) The number 309 is the Answer   th term of the sequence. (Hint: remember that P0 is the first term.)   (b)  Find the sum:  12 + 15 + 18 + ... + 309 =

Q: Use an=a1+(n-1)d and gn=g1re-1 to find: the 59th term of the arithmetic sequence 20, 16, 12, 8 . .…

A: Our aim is to find the 59th term of the arithmetic sequence given below:-20,16,12,8.....        -(i)

Q: nth term of an arithmetic sequence an = a1 + (n-1)d to answer this question. Thank you and stay…

A: nth term of an arithmetic sequence is given by an = a1 + (n-1)*d, Given : a1 = 10 and d = -1/2

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Q: Write a recursive formula for the sequence 15, 26, 48, 92, 180, .... Then find the next term.

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Q: Which term of the arithmetic sequence 1, 9, 17, 25, ... is 345? It is the th term.

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Q: The first term ao of a geometric sequence is -10, and the common ratio r is -3. What is the…

A: The formula for the nth term of a geometric sequence is given by an=a0rn-1, where a0 is the first…

Q: Find the indicated term of the sequence. The twelfth term of the arithmetic sequence -14√√3.-11√3,…

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Q: Find the missing values. Assume the parentheses separated terms in the corresponding arithmetic…

A: Given: Terms are in arithmetic sequence  we know that difference between any two consecutive terms…

Q: (3) Consider the sequence x + 3,x + 7,4x – 2,.... (a) If the sequence is arithmetic, find x and then…

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Q: Find the 53rd term of the arithmetic sequence 27, 11, -5, ...27,11,−5,...

A: The given arithmetic sequence is  27, 11, -5, ...............  The first term a = 27 difference d =…

Q: what is the 20th term in the sequence 0. 5,.1,.2,.4

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

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Q: Determine the term which has the value -38 in the arithmetic sequence7, 4, 1, -2,...

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Q: A sequence starts with 128, and every term value in the sequence is a product of the previous term…

A: Using previous sequence,

Q: Find the 10th term of the arithmetic sequence in which a1=12 and d = 9.1.

A: It is given that, a1=12d=9.1   It is known that nth term of arithmetic sequence can be found  by…

Q: what do you call the indicated sum of the terms in a sequence

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Q: Write the general term for the geometric sequence 3, 6, 12, 24, 48, . . . .Then use the formula for…

A: we have to write the general term for the geometric sequence 3, 6, 12, 24, 48, . . . . also we have…

Q: In an arithmetic sequence, u1 = 2 and u3 = 8. (a) Find d. (2) (b) Find u20. (2) (c) Find S20.

A: Let supposer first term is denoted by a Common difference is denoted by d nth term is given as…

Q: Consider the arithmetic sequence -7,-4,-1,..., 290. (a) Find the number of terms in the given…

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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.