Use the approach in Gauss's Problem to find the sum of the arithmetic sequence: 6+12+18+...+600

Q: What is the recursive formula for finding the nth term of the given geometric sequence?

A: Given query is to find the formula for nth term.

Q: n+1 Зп + (-2)" n=0

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Q: Use the formula for the sum of the first n terms of an arithmetic sequence to find the indicated…

A: The series can be written as follows in expanded form: 31+2+32+2+33+2+......+316+2…

Q: Find the correct recursive formula of the given sequence. 3, -2, -7, -12,

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Q: Find the explicit formula for the geometric sequence, THEN use it to find the 15 term. 17) Explicit…

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Q: What is the formula for the arithmetic sequence if the sum of the same sequence is given by sn 2n +…

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Q: Find the explicit formula for the arithmetic sequence Cn given below - note that c1=−4.…

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Q: Given the recursive rule for an arithmetic sequence, write the explicit rule. 5. f(1) = 19 and f(n)…

A: Question number 5,Given,          f1=19 and fn=fn-1-10 for n≥2

Q: Find a formula for a, for the arithmetic sequence. 5 aq = 0, d = - %3D

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Q: In a(n) _____  sequence, the ratio of successive termsis a constant.

A: A sequence in which ratio of successive terms is a constant is called a geometric sequence. Consider…

Q: What is the formula for the arithmetic sequence if the sum of the same sequence is given by sn = 2n…

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Q: Use the formula for the sum of the first n terms of a geometric sequence to:Find the sum of the…

A: Given: 3, -6, 12, -24, . . . . is the geometric sequence. To find: the sum of the first 11 terms of…

Q: Using the expressions a1 and r, what is a general explicit rule for determining an, the nth term of…

A: Please check further steps for the solution.

Q: Which explicit formula describes the geometric sequence { 1 1 1 3' 9 27 ' 81 .. n-1 an=+(n- 1) ()…

A: The given sequence is: 13,19,127,181,... That is: 13,132,133,134,... So, the general form of the…

Q: Find the formula of the general term an of the sequence: 3 1 2 .. 1, 2 2

A: The solution is given as

Q: Find the missing terms of the geometric sequence given 1, -2, .., -32 and that -32 is the 6th term…

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Q: Identify the explicit formula for the nth term of the sequence written below.   10, −50, 1000/3,…

A: The explicit formula is the formula that can give any term of the sequence upon inserting the…

Q: If the general term of an arithmetic sequence is :- 1 2n. T(n) = %3D then the

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Q: Find the sum of the sequence. I (k° +4) k=1

A: Given sequence is

Q: What is the explicit formula for a geometric sequence?

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Q: Find a formula for the general term an of the arithmetic sequence (starting with a1): {5,10,15,20,…}

A: The given arithmetic sequence is

Q: Use the formula for the sum of the first n terms of an arithmetic sequence to find the indicated…

A: Obtain the value of the sum as follows.

Q: The non-recursively defined formula for writing an arithmetic sequence is given by: an = C+ (n -…

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Q: Find x so that x, (x + 2), and (x + 3) are consecutive terms of a geometric sequence.

A: In this question, we will find the value of x which will satisfy the conditions of a geometric…

Q: The table below identifies the values for the first 5 terms in an arithmetic sequence. 1. Term…

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Q: Use the formula for the sum of the first n terms of a geometric sequence to solve. Find the sum of…

A: The given geometric sequence: 32, 38,332,.....

Q: 5. a; = 9 and an= 3an-1-1, for n> 1

A: Topic :- Sequence and series  First three terms 26,77,230,.......

Q: Insert the indicated number of arithmetic means between the given first and last terms of the…

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Q: 2" An 2n+1

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Q: Use the formula for the sum of the first n integers and/or the formula for the sum of a geometric…

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Q: Looking for a formula for the sequence below: 1, 0, 3, 2, 5, 4, 7, 6...   Can't seem to come up…

A: Given series 1, 0, 3, 2, 5, 4, 7, 6...

Q: Find the fifth terms of the sequence described by the explicit formula. f(n) = -9.2 -2.5( n-1) %3D…

A: Given function is f(n)=-9.2-2.5(n-1)

Q: Determine the sum of the first 7 terms of the arithmetic sequence with general formula: t₁ = -3n+7

A: given arithmetic sequence tn=-3n+7 we have to find  ∑n=17tn

Q: Find the sum of the finite arithmetic sequence. Sum of the integers from  −40 to 50

A: Given  Integer from -40 to 50

Q: What is the 11th term of the arithmetic sequence 1+2i, 3+3i, 5+4i...

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Q: If 4x,x+2 and x-5 form in arithmetic sequence,what is the value of x?

A: Given         4x  , x+2 and x-5 from in arithmetic sequence.      Since   4x  , x+2 and x-5 are in…

Q: Let the arithmetic sequence be defined by the formula a = 5 + (n-1) * 7 Apply the concepts of adding…

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Q: Find the explicit formula for the general nth term of the arithmetic sequence described below.…

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Q: Find an explicit formula for the sequence 1/2,-1/3,1/4,-1/6....

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Q: Use the formula for the sum of the first n terms of a geometric sequence to:Find the sum of the…

A: Write the first term and the common ratio of the sequence. a=3,r=63=2

Q: Use the formula for the sum of the first n terms of a geometric sequence to:Find the sum of the…

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Q: Is the sequence shown in the picture bounded? Why or why not? What work has to be done to show if a…

A: The given sequence is: an=1,4,7,10,.....  Given sequence is a arithmetic progression with: an…

Q: Find the first ten terms of the sequence in the formula an = 4n -n - 2. %3D

A: NOTE: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: Find a formula an for the nth term of the arithmetic sequence whose first term is a1 = −3 such that…

A: Our Aim is to find a formula an for the nth term of the arithmetic sequencewhose first term is a1=-3…

Q: Find the sum of the first 21 terms of the arithmetic sequence given by the formula a, = n + 5 273…

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Q: Use the formula for the sum of the first n terms of a geometric sequence to find the sum of the…

A: Given that the geometric sequence is 7,14,28,56,112,....

Q: Let be the arithmetic sequence defined by the formula a = 11 + (n-1) × 6 Apply the concepts of the…

A: Given tn= 11 + (n-1) × 6 Compare with tn= a+ (n-1) d⇒a=11,d=6

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.