It is given that p, q, r , s, t are in arithmetic sequence. If p + q + r = 9and s + t = 26, find the common difference of the sequence.

Q: Given t1=7, tn=3tn-1-4 , write the first five terms of the sequence

A:

Q: Dominique bought a block of basketball tickets numbered consecutively from 47 to 117. an = ?   How…

A: Definition used -         the nth term of an arithmetic sequence -…

Q: If the information given below represents an geometric sequence, find a1a1. a4=−320 and r=−4

A:

Q: For a given arithmetic sequence, the 5"" term, a-, is equal to -19, and the 31 term, a1, is equal to…

A: Given- a5=-19 and a31=-123 To Find- The value of a85. Identity Used- nth term of any arithmetic…

Q: The second term of a GP is 24 and the sixth term is 121.5, the first term of the sequence will be A.…

A: Solve the following

Q: Find the common ratio, the 8 term, and the three terms in the sequence after the last one given.…

A:

Q: What is the next term of the given sequence: 1, -4, 9, -16, 25, -45 -19 O -36 O -25

A:

Q: in an arithmetic sequence, the first term, a1, is equal to 1, and the seventh term, a7, is equal to…

A: The nth term of an arithmetic sequence is given by an = a1 + (n – 1)d where a1 is the first term and…

Q: For a given arithmetic sequence, the 4 term, as, is equal to -2, and the 36" term, a36, is equal to…

A: Topic = Sequence

Q: For (a)and (b), determine whether the sequence is a Fibonacci-type sequence. If it is, determine the…

A:

Q: Given the sum of the first 5 terms of a geometric sequence is 847 and the common ratio is 3,…

A: Solution-

Q: If a2 = 18 and a4 = 162, then the common ratio of the geometric sequence is O 11 3

A:

Q: ^A sequence can be generated by using a, = a,-n+ 29, where aj = 46 and n is a whole number greater…

A:

Q: The general term of a sequence is given and involves a factorial. Write the first four terms of the…

A: Given:            an=n+1!n2 We calculate first four terms of the sequence, n=1, 2, 3 and 4…

Q: The second term of a GP is 24 and the sixth term is 121.5, the first term of the sequence will be A.…

A: Second term in GP is ar=24   Sixth term in GP is ar5=121.5   Divide both the equations:…

Q: The given pattern continues. Write down the nth term of the sequence {an} suggested by the pattern.…

A: Consider the given pattern. 4,-8, 12, -16,...  It is an alternating sequence having negative even…

Q: The second term of a GP is 24 and the sixth term is 121.5, the first term of the sequence will be А.…

A: 1. The second term of a GP is 24 and the sixth term is 121.5.2. The given equation e5x=6

Q: Suppose that tn is an arithmetic sequence. Find the values of a and d if we know that t10 38 and t15…

A:

Q: Find the explicit formula for the given sequence. 2, 8, 32, 128, . .... a = 2.4"-1 A a = 8.4"-1 %3D…

A: We have the given sequence is 2,8,32,128............

Q: Determine if the sequence is geometric. If it is, find the common ratio, the term named in the…

A: First we need to check series is Geometric or not so we calculate common ratios or consecutive terms

Q: For a given geometric sequence, the common ratio, r, is equal to 5, and the 12th term, a₁2, Is equal…

A: The nth term of a geometric sequence is given by  an = a1·rn-1 where a1 is the first term and r is…

Q: For a given arithmetic sequence, the 93rd term, ag3, is equal to 479, and the 12th term, a;2, is…

A:

Q: If the given sequence is a geometric sequence, find the common ratio. 4, -12, 36, -108, 324 -16 -3 O…

A:

Q: For a given arithmetic sequence, the 3 term, a, is equal to 23, and the 37 term, a,7, is equal to…

A: We are asked to find the 87 th term.

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

A:

Q: is equal to 240, and the 5" term, ac, is equal to 36. a73 term, For a given arithmetic sequence, the…

A: A sequence is funfction  from the set of natural numbers to the set of real numbers. A sequennce can…

Q: For the geometric sequence 1, b, b2, b3, ... , simplify bS6−S6=

A: given1, b, b2, b3, ...first term a=1common ratio r=second termfirst termr=b1r=bsum of n terms of…

Q: Give a next step and a justification for a proof sequence that begins1. (A Λ B′) → C hyp2. C′ hyp

A:

Q: the twelfth ,t12 in the sequence 43,37,31,25,..is

A: Given sequence,43 , 37 , 31 , 25 , .........To find: t12

Q: If {8,11, 14, 17,.....} is the given arithmetic sequence, then the common difference d = O 3 -8 -3 O…

A: The given sequence is                                 {8,11,14,17,.....}     The first term of the…

Q: The second term of a GP is 24 and the sixth term is 121.5, the first term of the sequence will be A.…

A: We will find out the required value.

Q: In an arithmetic sequence {a1, a2, a3, -} the first term is 5 and the 19th term is 95, then S19 is

A:

Q: Given the arithmetic sequence an with a1=−7 and d=−9, find a3. Do not include "a3=" in your answer.…

A:

Q: Given the sequence 6, -12,24, -48, ..., determine a) t15 6. b) S15

A:

Q: If the given sequence is a geometric sequence, find the common ratio. 4/3, 8/3, 16/3, 32/3, 64,3

A:

Q: The given pattern continues. Write down the nth term of the sequence {a,} suggested by the pattern.…

A: 3, -6, 9, -12, .... From this series we see that each term is a multiple of 3. In fact the nth term…

Q: For a given geometric sequence, the common ratio, r, is equal to 2, and the 10th term, ₁o, is equal…

A: Here, nth of a GP , an = a1 × r(n - 1)

Q: Find the indicated term of the arithmetic sequence a1 = 5, d= 3, a4= ?

A: Given First term a1=5Common difference d=3

Q: Given the sum of the first 7 terms of a geometric sequence is -27,305 and the common ratio is 4,…

A: To find- first term (a).

Q: For a given geometric sequence, the 1st term, a₁, is equal to 11 9 your answer as a fraction. and…

A:

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

A:

Q: Let bo, b,, b2, ... be the sequence defined by the explicit formula b, = c. 6" + D(-5)^ for each…

A:

Q: Given the sequence 1,2,3,4,5,... and the sequence 3,4,5,6,7,... whats the product of the two linear…

A: It is given that, the  sequence 1,2,3,4,5,...and the sequence 3,4,5,6,7,...    We have to find the…

Q: The first three terms of an arithmetic sequence are given. Find an expression for t in terms of n,…

A:

Q: Determine if the sequence is geometric. If it is, find the common ratio, the term named in the…

A: We have to find terms

Q: If a=36 and r is greater than 1, will the terms in the sequence get bigger or smaller?

A:

Q: Given that the sum of the first n terms of a sequence is S, where S, = n(n + 2), the fourth term of…

A:

Q: Which sequence could described by the explicit definition: t, = 2· n - 3? {5, 7, 11, 19, 35, ...} O…

A: Given, tn=2·n-3we have to tell which sequence could described by the explicit definition:

Q: In the sequence {1,5,9,13,17,} which term is a3?

A:

Q: The general term of the Fibonacci sequence is: A) F, = V5 A-V6((노)"- (보)") B C ()" - (→4)") D

A: given,