11. Solve the following arithmetic and geometric sequences. a. Find the sum of the first 26 terms, given a, = -5 and az6 = 220. b. Find the sum of the first 30 terms of the arithmetic sequence 12,. c. Find the 10th term of the geometric sequence 8, 4, 2, 1, . d. Find the sum of the geometric series 1+ 2+ 22 + 23 +.. + 220.

Q: Determine the common ratio r, the fifth term, and the nth term of the geometric sequence. 1, 5, 5,…

A: G. P. Series problem.....

Q: Find the common ratio and write out the first four terms of the geometric sequence (1.04)" n-1…

A: Lets find common ratio r and a1,a2,a3,and,a4.

Q: 1. Find the sum of the following infinite sequence: 40, 20, 10, …

A: A detailed solution is given below.

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

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Q: Find the sixth term of the geometric sequence withfirst term 10 and common ratio 3.

A: We have to find 6th term of the geometric sequence where first term is 10 and common ratio is 3. We…

Q: Find the sum to infinity of the geometric sequence. 1/3, 1/9, 1/27, 1/81, …

A: Given series is 13,19,127,181From here a1=13 and a2=19We know that r=a2a1=1913=13

Q: Find a formula for the nth term of the geometric sequence. 16, 8, 4, ...

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Q: 4. Find the common difference of the arithmetic sequence for which the first term is -12 and 23rd…

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Q: Write the explicit form for the nth term of the following geometric sequence.  4,15,45,135…

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Q: た 2 白 Find the sum of the indicated number of terms of the geometric sequence. -4, 12, -36, ...; n =…

A: Consider the given series.

Q: Find the 11 term of the following geometric sequence. 3, 6, 12, 24, ...

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Q: Solve the following. Find the sum of the first 25 tems of the arithmetic sequence 26, 23, 20, 17,…

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Q: 11. Given that the 5th and 11th terms of an Arithmetic Sequence are 26 and -16, respectively, what…

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Q: Find the first term of the geometric sequence from the given information. Express the term as an…

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Q: 2. If the 7th term of a geometric sequence is 448 and the 17th term is 458752, what are the values…

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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: 2. The missing term of the geometric sequence 45, [ ],1620, . is ...

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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: Given the explicit formula for a sequence, find the first five terms and the 52nd term. 1) а — 41-…

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Q: find the sum of the first 16 terms of the geometric sequence 1/9, 1/3/ 1.....

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Q: find the 14th term of the following geometric sequence 5, 10, 20, 40, ...

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Q: (c) The sum of the first 12 terms of a geometric sequence is 6144. If the common ratio is 2, find…

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Q: 2. The first three terms of either an arithmetic or geometric sequence are given by 6, a, 24. Which…

A: Given,         The first three terms of either an arithmetic or geometric sequence are…

Q: Find the sixth term of a geometric sequence whose first term is 5 and whose common ratio is 2. * O…

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Q: If the 3rd term of an arithmetic sequence is 13 and the 9th term is 37, what is the common…

A: nth term of arithmetic sequence is goven by,         an = a1 + (n - 1)d      where a1 is first term…

Q: Find the 57 term of the following arithmetic sequence. 13, 20, 27, 34, ...

A: Given arithmetic sequence 13, 20, 27, 34, ......... We have to find 57th term.

Q: Find the first 5 terms of the sequence defined byan = 10/n .

A: Consider a sequence an. The first n terms of the sequence are given by: a1, a2, a3,...an

Q: If the second term of a geometric sequence is 250 and the fifth term is 16, what is the common…

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Q: , 256 Find the missing terms from the following geometric sequence: 4,

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Q: Find the sum of an 8-term geometric sequence when the first term is 7 and the last term is 114,688…

A: Given query is to find the sum of the 8 term of geometric sequence.

Q: 15. Find the 5th term of the geometric sequence whose common ration is and whose first term is 7.

A: Given first term is 7 and common ration is 1/2 Here a=7,r=1/2

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

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Q: 6. Find the first 4 terms and the 12th term of the geometric sequence: a, =100,000 and r = -0.2 ɑ1 =…

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Q: Please propose a formula for the elements of the following sequence a, which begins: 1, 3, 5, 7, .

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Q: Write down the first five terms of the geometric sequence which has first term 1 and common ratio ½.

A: First term = a = 1 Common ratio = r = 1/2

Q: Find the 13th term of the following geometric sequence. 4,8,16,32....

A: Here,

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

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Q: In an arithmetic sequence the ratio of the third to the eight term is 6:1 and the sum of the third…

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Q: 1. Find the sum of the first eight terms of the geometric sequence 3,6,12, * ...

A: 1. We have find the sum of first eight terms of the geometric sequence 3,6,12... Formula for sum of…

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: 1. Find the first 11 terms of an arithmetic sequence in which the third term is 10 and the eleventh…

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Q: If the sixth term of a geometric sequence is 972, and the tenth term is 78732, what is the first…

A: Sixth term of G.P is 972 Tenth term of G.P is 78732 T6=ar6-1=972......equation 1…

Q: Find the sum of the indicated number of terms of the geometric sequence. 5, 10, 20, ...; n = 8

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Q: Calculate, to four decimal places, the first ten terms of the sequence. an = 1 + an 4 10

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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: 2. Find the 11th term of the following geometric sequence. 4, 12, 36, 108, ...

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

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Q: Find the following: (a) Sum of the first 21 terms of the sequence: 5,9, 13, 17,...

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

Q: find the explicit formula for the general nth term of the geometric sequence…

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Q: 3. -5, 15, -45,... n = 7

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