12. Given that the 5th and 11th terms of an Arithmetic Sequence are 26 and -16, respectively, determine the sum of the first 7 terms. Enter your answer

Q: 5. What is meant by the index of a term of a sequence?

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Q: The 3rd and 4th terms of an arithmetic sequence are 13 and 18, respectively. What is the 50th term…

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

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Q: 14. The sum of the first 50 terms of the sequence 2, 8, 14, 20, 26, ...

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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: What is the sum of the 8 terms in a geometric sequence if the first term is 4 and the common ratio…

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Q: What is the 10th term of the following sequence? 16, -8, 4, -2

A: Given sequence: 16,-8,4,-2,... Given sequence is a G.P. First term of G.P. a=16 Common ratio…

Q: 2) Find the sum of the first 100 terms of the arithmetic sequence: 2, 4, 6, 8, 10, 12, ...

A: The arithmetic sequence: 2,4,6,8,10,12,.......

Q: 12. Describe what is the difference between an Arithmetic sequence and a Geometric sequence.

A: we have to find difference

Q: 2. The first term of an arithmetic sequence is -15 and the fifth term is 13. Find a40.

A: We can find the answer as below.

Q: What is the 46th term in the arithmetic sequence –1.5, –1.3, –1.1, -0.9, ...?

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Q: 4. What is the fourth term in the sequence defined as: a1 126 and an 3(an-1) - 5 %3D %3D

A: A sequence is a function which domain being the set of natural numbers and the range being the set…

Q: 23. Find the 23rd term of an arithmetic sequence with a = 15 and as7 239.

A: We have to find the 23rd term of an arithmetic mean   We have given information that a1=15a57=239

Q: 3. Evaluate to find the sum of the first 7 terms in the arithmetic sequence. 8, 2, -4, ...- 28

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Q: 8. Find the number of terms of the finite arithmetic sequence {7, 16, 25, 34, ...,574}. Make sure to…

A: Explained below

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

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Q: 9. What is the sum of the first 15 terms of the arithmetic sequence -8, 7, 22, 37, . * O 202 O 1455…

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Q: 11) Fill in the missing terms in the arithmetic sequence. 2, -_14, _ 23,

A: SOLUTION-

Q: 2. Determine the first five terms of the arithmetic sequence having these values: a, =-97;a, = 447;…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: To find the 40th term of the geometric sequence 8, 6, , which formula is correct? 39 8(4) a40 39 O…

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

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Q: 2.) Write the general formula for un for the arithmetic sequence 12, 4, –4, –12, ...

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Q: 1. What are the next three terms of the sequence shown below? 3, -6, 12, -24, ...

A: the given sequence is 3, -6, 12, -24,...............

Q: The first three terms of an arithmetic sequence are 7, 10.5, 14. a. What is the 31st term of the…

A: We have to find: a 31st term of the sequence b sum of first 31 terms of the sequence Where three…

Q: 1.Write the first four terms of the arithmetic sequence with first term is 8 and common difference…

A: A sequence is a set of numbers that has a particular order or obeys a general form. The nth term of…

Q: Identify the type of sequence: 56, 49, 42, 35, 28, 21, . ... arithmetic B geometric neither

A: This is an arithmetic sequence.

Q: The first three terms of an arithmetic sequence are 7, 10.5, 14. A) What is the 31st term of the…

A: The terms of the AP are, a1=7a2=10.5a3=14   The common difference is, d=a2-a1=10.5-7=3.5   Thus, the…

Q: What is the 5th term of the geometric sequence 3/20 3/2 and 15 question

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Q: 17. Determine the next 3 terms in the sequence: 22, 31, 40, 49, 58, ... O 67, 76,85 O64, 70, 76 60,…

A: given sequence is :22,31,40,49,58,... their same distance in all number  d=31-22=40-31=9 d=9

Q: 5. What is the 100th term of the arithmetic sequence 8, 12, 16, 20...? * 108 O 396 O 404 O 408

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Q: 12. Write a rule for the nth term of the arithmetic sequence: 8, 3, -2, -7, -12,.. an

A: To write the nth term of an arithmetic sequence.

Q: I. Determine whether or not each of the following is an arithmetic sequence. 3. 3, 7, 11, 15,.. 4.…

A: To determine whether or not each of the following is an arithmetic sequence. 3 3,7,11,15,....4…

Q: 4 Find the sum of the first 3 terms of a geometric sequence with a = 18 and r= 3 The sum is

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Q: What is the partial sum of terms 12 to 15 of the arithmetic sequence 88, 75, 62, 49, ...? O 198 O-45…

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Q: Complete the explicit formula for the arithmetic sequence 5,14,23,32,41,50,.. An

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Q: 9. Find the sum of the first 20 terms of the geometric sequence 2,6,18,.... A. 3,486,784,400 B.…

A: The series a geometric series. We can easily solve using formula for sum of geometric series

Q: Find the 21th term of the given sequence 2, 1, 1/2, 1/4, 1/8…

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Q: Find the sum of the first 14 terms of the geometric sequence shown below. 2, 6, 18, 54,... ***** The…

A: Given, Geometric sequence 2, 6, 18, 54 .... The objective is to find the sum of the first 14 terms.…

Q: 6. Write an explicit formula for the geometric sequence 33, 99, 297, 891, ..

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Q: 13.What is the 3rd term of the sequence defined by an = (-2n)", %3D O A. 216 о в. 276 O C.-216 O D.…

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Q: Find the sum of the first 14 terms of the geometric sequence shown below. 2, 6, 18, 54, .. The sum…

A: Given that :  2 , 6,18,54,..... By using geometric sequence...  r = difference ratio.  a = first…

Q: Determine whether the sequence is arithmetic or geometric.4, 8, 12, 16, 20, . . ._____________

A: Given: 4, 8, 12, 16, 20, . . .

Q: 1. If the first three terms of an arithmetic sequence are k - 2, 2k +1 and k + 2, find the value of…

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

Q: Please answer the questions with solution. What is the next term in the geometric sequence 3, −9,…

A: we have to find

Q: 17. Find the number of terms of the finite arithmetic sequence: 8, 14, 20, 26, ..., 320. (Make sure…

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

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Q: 8. Find the missing term of the arithmetic sequence 22, 34, ... O46 O16 O28 O40

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Q: If the third term of an arithmetic sequence is I and the eighth term is -14" what is the sum of the…

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Q: 1. 3,6, 12,... n = 12 27 2. 12, 9, 4 n = 5 ....

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