a. In a geometric progression the sixth term is 8 times the third term and the sum of the seventh and eighth terms is 192. Determine (a) the common ratio, (b) the first term.  b. An arithmetic series has first term ln 2 and common difference ln 4. Show that the sum Sn of the first n terms is n2 ln 2

Q: The nth term of a sequence is given by an find the first two terms. %3D n+1"

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Q: The seventh term of an arithmetic progression is 11 and the sixteenth term is 29. Find: the common…

A: Given seventh term of A.P=11 Sixteenth term of A.P=29 We know that nth term of A.P (an)= a+(n-1)d…

Q: What is the value of d in the arithmetic series 8 +b + c + d + e +... if the sum of the first 87…

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Q: 6. Simplify the following square root. V175 7. Write the first six terms of the arithmetic sequence…

A: To solve the following problems

Q: 4- 120..} .... Determine the next term of the sequence { - 24

A: The sequence is  {12,-16,124,-1120}  +2 = (-1)2 ÷ 2! -6  =  (-1)3 ÷ 3!  24 =  (-1)4 ÷ 4!  -120 =…

Q: Find the nth term and the indicated term of the arithmetic sequence whose initial term, a, and…

A: Given: An arithmetic sequence where:a=initial term=-5d=common difference=8 We are required to find:…

Q: 2- In an arithmetic series of 50 terms, the 17th term is 53 and the 28th term is 86. Determine, a, d…

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Q: 5. Distinguish between a sequence and a series. Use both words and examples to make this…

A: Distinguish between a sequence and a series:

Q: 4. In an arithmetic sequence, t₁0-11 and t18=27, determine the first 2 terms.

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Q: 25. Σ(3n+5) nel

A: Given: ∑n=113 3n+5 Substituting the value of n=1, 2, 3...., we get ∑n=113 3n+5=3×1+5=8∑n=113…

Q: 6. +.. Find S9. 4 + 12 + 36

A: Solve for the S9

Q: L4Q16. The first term is 4, and the explicit formula is Tn = a + 5(n - 1). Find the 7th term of the…

A: The first term is 4, and the explicit formula is Tn = a + 5(n - 1). Find the 7th term of the…

Q: Directions: Identify the given if it is a series or not. Write SERIES if it is a series and write…

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Q: 50. Find all values of x such that x – 7,x + 7, and 4x – 7 form a geometric sequence. 32 A. x = 0 or…

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Q: Find the n th term of the arithmetic sequence whose initial term is a, and common difference is d.…

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Q: Q5. Evaluate the arithmetic series110n + 4.

A: Here i am litile confuse wether 4 is inside summation or not so i have solved for both case

Q: th Find the n"" term of the arithmetic sequence whose initial term is a, and common difference is d.…

A: The nth term of an arithmetic progression is  an= a+(n-1)*d

Q: 4. an = 6n 5. a = 6. 2n+2 a = (-2)n-2n

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Q: Find a4 when a₁ = 3 and r = - 2 Select one: O a. - 16 O b. 16 O c. 24 O d. - 24

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Q: C. Determine whether the problem below is an example of a series or a sequence by writing SEQ or SER…

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Q: Write the first three terms of the sequence separated by commas. 1. an = 21 + 12n 2. an = 2n2 - 10…

A: (1) Consider the provided sequence, an=21+12n Write the first three terms of the sequence. Put n=1…

Q: Find the arithmetic series of the arithmetic sequence: (5, 7, 9, ., 301}. a 765 b 22,496 22,797 d…

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Q: 2. 5, 7,9, .. , 27

A: