Write an expression that gives the requested sum. (a) The sum of the first 18 terms of the geometric sequence with first term 7 and common ratio 4 (b) The sum of the first 32 terms of the geometric sequence  1, 2, 4,

Q: Find the sum of the first 90 terms of the geometric sequence. Show your work with the formulas 4800,…

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Q: Find 65th term of the arithmetic sequence with first term 5 and common difference -1/2

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Q: 1. The third and eighth term of a geometric sequence are 8 and – respectively. What is 1 4 the first…

A: 1.The nth term of geometric sequence;an = a rn-1a3 =a r28=a r2 ...(1)a8 =a r714=a r7…

Q: 1. The first term of an arithmetic sequence is 5. The eleventh term is 125. What is the common…

A: GivenFirst term of arithmetic sequence 'a' = 5Eleventh term of arithemetic sequece 'T_11' = 125

Q: ind the sum of the first eight terms of the sequence 1/8,−1/4,1/2, . . ..

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Q: What is the 100th term of the sequence –3, 2, 7, 12, ...?

A: Given: Sequence: –3, 2, 7, 12, ...?   To find: 100th term of the sequence. Formula to be used:…

Q: Find the 65th term of the arithmetic sequence with first term 3 and common difference -1/2 (negative…

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Q: A geometric sequence whose first term = 2 and whose sixth term = 64, i) find the first six terms ii)…

A: The nth term of a geometric progression or a geometric sequence with first term and common ratio r…

Q: Find the 73rd term of the arithmetic sequence with first term 1 and common difference − 1 2 .

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Q: sequer with first term 6 and 56th term 226. 41. Find the sum of the first 70 terms of the arithmetic…

A: 41.In an arithmetic sequence, first term=10 and common difference=12

Q: Provide an Arithmetic Sequence, by either giving a General rule or explicitly listing the first five…

A: We have to provide an Arithmetic Sequence, by either giving a General rule or explicitly listing the…

Q: 41. Find the sum of the first 70 terms of the arithmetic sequence with first term 10 and common…

A: "The student ask for the question number 41, so I am solving the question number 41." Given that,…

Q: bus travels 250m in the first minute, 500m in the second minute, 1000m in the third minute and so on…

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Q: ) Find the sum of the first 71 terms of the Arithmetic sequence: 28, 25, 22, …………..           b)…

A: For the given arithmetic sequence  28, 25, 22, …… The sum of the first 71 terms of given arithematic…

Q: What is the formula for the nth term of the sequence 5, 8, 11, 14, ...?

A: The given sequence 5, 8, 11, 14,........

Q: ind the 85th term of the arithmetic sequence with first term 1 and common difference -1/2

A: As we know that the expression for the nth term of the arithmetic sequence is: Tn=a+n-1d Where 'a'…

Q: Find the sum of the first 100 terms of an arithmetic sequence with 15th term of 86 and first term of…

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Q: Which geometric sequence has a first term equal to 55 and a common ratio of -5?

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Q: The first three terms of a geometric sequence are as follows. 10, -40, 160 Find the next two terms…

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Q: Find the indicated term of the geometric sequence. 9th term of 1, - 1, 1, ... Enter the 9th term of…

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Q: Find the sum of the first 90 terms of the arithmetic sequence with first term 8 and common…

A: Given:First term =  a = 8common difference =d = 1/2We will find the sum of first 90 terms So n = 90

Q: Find the 37th term of an arithmetic sequence whose second and third terms are −4 and 12.

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

Q: Find the seventh term and the sum of the first seven terms of the geometric sequence 6, −3,32, −34,…

A: Given: A geometric sequence is given.6, -3, 32, -34, ... To Find: The seventh term and the sum of…

Q: 3. Find the sum of the first 10 terms of the geometric sequence: 7,-14, 28, -56,. 3. 4. Find the sum…

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Q: Find the general rule for the nth term of the arithmetic sequence 73, 46, 19, -8, -35, … Solve for…

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Q: 1. Find the 30th term of an arithmetic sequence whose ninth term equals 199 and fifteenth term…

A: Given: T9=199, T15=343 we know that nthTn term of an arithmetic progression is given by Tn=a+n-1d…

Q: Find the 83rd term of the arithmetic sequence with 1st term 6 and common difference −1/2

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Q: What are the explicit equation and domain for an arithmetic sequence with a first term of 7 and a…

A: The Arithmetic Sequence Explicit formula allows the direct computation of any term for an arithmetic…

Q: Insert four arithmetic means between 12 and -3. 2. Find the 28th term in an arithmetic sequence if…

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Q: A geometric sequence is a sequence in which theof successive terms is constant.

A: In a geometric sequence, the ratio between successive terms is constant. Geometric sequences grow or…

Q: The first, third and sixth terms of an arithmetic sequence form 3 successive terms of a geometric…

A: We use basic of arithmetic progression and geometric progression.

Q: What is the first term of a geometric sequence which fourth term is -40 and with common ratio of -2?

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Q: Find the indicated term of the geometric sequence. 9th term of 1, - 1, 1, . Enter the 9th term of…

A: nth term of geometric sequence is given by =an=a1rn-1 Where r=a2/a1

Q: 4. The 1st term of an arithmetic sequence is -168 and every term after the first is 8 more than term…

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Q: 5 th term of a geometric sequence is -80 and its 10 th term is 2560. Calculate the following. Show…

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Q: The sixth term of an arithmetic sequence is 28 and the ninth term is 36. Count the sum of the first…

A: We use the sum of an arithmetic sequence to answer the given question.

Q: Find the 12th term of the arithmetic sequence 9,7, 5, .. Answer: Find the first term and the common…

A: We have to find the 12th term and first term and common difference of the given sequence.

Q: if given the first 2 arithmetic sequence 7 and 3 How do I determine the eighteenth term

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Q: Find the first term and the common difference of the arithmetic sequence whose 7th term is −5 and…

A: In airthmetic sequenceuse formula nth term tn=a+n-1d7th term t7=a+7-1d=-5a+6d=-5--116th term…

Q: Predicting the next term. Predict the next term of the sequence. -4,-1, 14, 47, 104, 191, 314, ?

A: We have to solve given problem:

Q: Find the 75th term of the arithmetic sequence with first term 2 and common difference -1/2.

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Q: The sum of the first three terms of an arithmetic sequence is 45, and its 5th term is 24. What is…

A: We can find the 8th term of the GP as below

Q: 1. Find the 10th term of an arithmetic sequence with first term of 6, and common difference of 4

A: We are solving the first question and for the next question post the question again and alsomention…

Q: What is the 11th term of the geometric sequence −1.5,−3,−6,−12,…?

A: Given series ,-1.5 , -3 , -6 , -12 ,---first term , a1=-1.5Common ratio , r=-3-1.5=2

Q: A) Find the sum of the first fifteen term of arithmetic sequence with first term 20 and common…

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Q: Find the sum of the first 60 terms of the arithmetic sequence with third term 10 and eighth term 25

A: Let, first term is a, And the common difference is d. Sum of first 60 term =(60/2)(2a+59d)…

Q: term in a geometric sequence whose 3rd term is 5/4 and 6th term is 10?

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Q: Find the sum of the first n terms of the arithmetic sequence.−9 + (−12) + (−15)+ ... (to 10 terms)…

A: It is an arithmetic series with  Now sum of the first n terms is,

Q: Find the sum of the first 77 terms of the arithmetic sequence.   37​,38​,39​,40​,... What is the sum…

A: Given : 37​,38​, 39, 40…

Q: Find the nth term of a sequence whose first several terms are given. 2/3, 3/4 , 4/5, 5/6

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