9. Find the value of x and y if x-y, 7x+y-1, and -5y are consecutive terms of an arithmetic sequence.

Q: n+1 Зп + (-2)" n=0

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Q: Find the 20"" term of the arithmetic sequence whose common difference is d= 5 and whose first term…

A: The formula to find the nth term in arithmetic sequence is given below: an=a1+n-1d where, a1 is the…

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

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Q: Find for the 20th term of an arithmetic sequence 3, 6, 9, 12,

A: Let's find.

Q: 13. Solve for x & y if the given sequence is arithmetic 2х + 5y, 2y, 3х + 2, 4x — Зу

A: Given- 2x+5y,2y,3x+2,4x-3y To Find- The value of x and y if the above sequence is arithmetic.

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: Determine the sum of the first four terms of the geometric sequence where a = 3 and r = 2.

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Q: Find the 16"" term of the arithmetic sequence whose common difference is d= 8 and whose first term…

A: The first term of the arithmetic sequence is 2 and common difference is 8. To find the 16th term of…

Q: The first two terms of the arithmetic sequence are given. Find the missing term. a1 = 6, a, : = 19…

A: Given that first term a1 = 6 and second term a2 = 19 We have to find fifth term a5 = ?

Q: 2. What is the term ag of the sequence {an} if an equals a) 2-1? b) 7? c) 1+(-1)"? d) -(-2)"?

A: A sequence is a set of numbers that has a particular order or obeys a general form. In this problem,…

Q: If the fourth term of an arithmetic sequence is 13 and the second term is 3, find the 24th term.

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Q: Find the tenth term and the sum of the first ten terms of the arithmetic sequence whose first two…

A: Let the first term is a1=4+3 and the second term is a2=3. The common difference is,…

Q: 3. Find $20 for the arithmetic sequence whose first term is a1 = 3 and whose common difference is d…

A: We have to determine s20 arithmetic sequence

Q: Find the infinite sum of the geometric sequence with 2 if it exists. 7 a = 4, r = -

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

A: SOLUTION-

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

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Q: Find for the 15th term of an arithmetic sequence 3, 6, 9, 12,

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Q: Find an expression for the nth term of the arithmetic sequence. -1, 5, 11, 17, 23, ... O A. a, - 6n…

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Q: Find the first five terms of the sequence 2" -1 n 1, 2, 3, .. аn n2 1

A: Given: -

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 sum of the first 15 terms of the arithmetic sequence: 3, 6, 9, 12, .........

A: Given:A.P  3,6,9,12,.....a1=3,  a2=6d=a2-a1d=6-3d=3, a=3, n=15Sn=n2[2a+(n-1)d]

Q: Find the sum of the first five terms of geometric sequence. a1 = -5, r = 4

A: We know that, sum of n terms of an geometric series with first term a and common ration r is given…

Q: 4) Find x if the sequence 3, 6, 2x+5, is a) arithmetic b) geometric.

A:

Q: 4) Decide if the sequence is arithmetic, geometric, or neither. a) 1, 4, 9, 16, ... b) 10, 3, -4,…

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

Q: For what value of K will K, K-2, K-3 be in terms of geometric sequence?

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Q: Find the infinite sum of the geometric sequence with 2 if it exists. 8 6, г a = -

A: The geometric sequence with a=6, r=28

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

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Q: Find the sum of the first 45 terms of an arithmetic sequence whose general term is given by 15 + 5n

A: Given that the general term arithmetic sequence is 15 + 5n.  And we have to find out the sum of…

Q: Find the 15"" term of the arithmetic sequence whose common difference is d =6 and whose first term…

A: an = a  + (n-1)d

Q: Write out the first five terms of the sequence. n/n2 +2

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Q: Which explicit formula describes the arithmetic sequence {19,14,9,4,...}

A: The arithmetic sequence is given by 19, 14, 9, 4, ····· To determine : The explicit formula of the…

Q: Find the infinite sum of the geometric sequence with a = = 6, r = if it exists. %3D 2 00

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Q: An arithmetic sequence whose first term is 4 and base is 3, so the sec ond and fifth terms are equal…

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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: Which explicit formula describes the arithmetic sequence {19, 14, 9, 4, …}

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Q: 4. Find the value of x so that x+7, -x-1, x+ 13,.. shall form a geometric sequence.

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Q: Suppose you have the sequence 4, 1, -2, -5,.. . Find the sum of the first 20 even terms.

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Q: Find the third, fourth and fifth terms of the sequence defined by  a1=3, a2=5 and an=2an-1-an-2 for…

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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: If the 4th term and the 14th term of an arithmetic sequence are 13 and 73 respectively, the sum of…

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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: 3) Find the sum of the first 12 terms of the geometric sequence-3,-6,-12,-24,..

A: We can solve as follows

Q: 1. If the expressions 3x+2, x^2,6x+3 whole numbers, find the value of x. forms an Arithmetic…

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Q: Find the values of x and y for which the sequence 2, x, y, 17, . . . is(a) arithmetic (b) geometric

A: 2, x, y, 17, . . .  We need to find the values of x and y for which the given sequence is (a)…

Q: Find the 19" term of the arithmetic sequence whose common difference is d=3 and whose first term is…

A: the nth term of the arithmetic sequence is given by an=a1+n-1d here we have a1=4,   d=3 an=4+n-13…

Q: 1. Find the 25th term of the arithmetic sequence -7,-4, -1, 2, ..

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Q: If two terms of an arithmetic sequence are a₁₁ = 26 and 815 = -10, what is 828? -226 O-217 O-127…

A: I have stated the used formula in the solution.

Q: If y = 6x-2 + 8x³ + 11x then y' The missing term of the arithmetic sequence 22,| .........

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Q: 4. What are the first five terms of the sequence for a1=-2 and an=2an-1+5?

A: