For the given geometric sequence. Find the sum of the first 6 terms of 3, -6, 12, ….

Q: 3, 12, 21, 30,...

A: A geometric sequence, is a sequence of numbers where each term after the first is found by…

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 the second, third, and fourth terms of the geometric sequence with c1=8 and r=−12.

A:

Q: Find the indicated term of the geometric sequence. 2,6, 18, ...; a7

A:

Q: find the fourth and fifth terms of the sequence, (assume n begins with 1) an = 8(-1)"*5) %3D a. 3.

A: The objective is to find the fourth and fifth term of the sequence.

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

A:

Q: Find the infinite sum of the geometric sequence with a = 4, r = Soo = > Next Question if it exists.

A: Topic-geometric Progression

Q: For the geometric sequence, 1 169, –13, 1, 13 - What is the common ratio? What is the fifth term?

A:

Q: Find the number of terms in the arithmetic sequence with the given conditions.

A:

Q: Write the first five terms of the geometric sequence with the given first term, a,, and common…

A: Refer to image below.

Q: Find the indicated term for the geometric sequence with first term, a,, and common ratio, r. Find…

A:

Q: Find the missing terms of the geometric sequence given 1, -2, .., -32 and that -32 is the 6th term…

A:

Q: Find the first four terms of the sequence given by the following. an=2(5)", n= 1, 2, 3...

A: SOLUTION-

Q: Find the second, third, and fourth terms of the geometric sequence with c1=8 and r=−1/2.

A: General term of GP

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

A:

Q: Find the second, third, and fourth terms of the geometric sequence with c1 250 and r =

A:

Q: Find the sum Sn of the arithmetic sequence that satisfies the stated conditions.

A:

Q: Find the infinite sum of the geometric sequence with a=4,r=28a=4,r=28 if it exists. S∞=

A:

Q: Given an arithmetic sequence whose sixth term is 28 and eleventh term is 43, find the sum of the…

A:

Q: The third term of a geometric sequence is 9, and the common ratio is 3/2 . Find the fifth term.

A: nth term of a geometric sequence  an = arn-1    a3 = 9 r = 3/2

Q: Find the 10" term of the following geometric sequence. 4, 20, 100, 500,

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

Q: Given that a is a geometric sequence and az = and a5 what is a12?

A: Let the first term is = a and common ratio=r Given that

Q: Find the number of terms in the arithmetic sequence with the given conditions.

A: The first term of the arithmetic sequence is given as -296 The common difference of the arithmetic…

Q: Find the sum to infinity of the geometric sequence given below 1. 12, 4. .. .... 2. 900, 9, 0.09,...…

A: 1): Hera1=12a2=4a3=34This is not a geometric progression as a1a2 and a2a3 are not equal.SO, it is…

Q: Find the common ratio and S, for geometric sequence 27, 9, 3.

A: To find the common ratio and S5 for a given geometric sequence

Q: -For each sequence, decide whether it could be arithmetic, a. 25, 5, 1, ... b. 25, 19, 13, ... c. 4,…

A: Given: a)  25,  5,  1,  ...b)  25,  19,  13,  ...c)  4,  9,  16,  ...d)  50,  60,  70,  ...e)  12,…

Q: Find the explicit formula for each of following sequence: а) -31, -14, 3, 20, 37, 54, b) 1/5, 1/25,…

A: Given: a)-31,-14,3,20,37,... b)1/5,1/25,1/125,1/625,... c)17,10,3,-4,-11,-18,.... As per our…

Q: Given the explicit formula for a geometric sequence find the first five terms and the 8th term. 6)…

A: Given, The explicit formula for geometric sequence  an= -3×(-2)n-1 To find the first five terms plug…

Q: Find a, and r for a geometric sequence {a, from the given information. a, =24 and as=648

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: For an arithmetic sequence, a17 = 2. If the common difference is 5, find: aj = the sum of the first…

A:

Q: a = 5, a,+1=-3a,

A:

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

A: Here,

Q: 2, 10, 50, 250, .

A:

Q: both questions

A:

Q: Find a, and r for a geometric sequence with the values given below. a, = 135, n= 4, S, = 200 %3D

A:

Q: Complete the explicit formula for the geometric sequence 5,10,20,40,80,... an

A:

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: For the given geometric sequence. Find the sum of the first 6 terms of -2,2,-2,2,….

A: Sum of geometric progression

Q: Find the sum Sn of the arithmetic sequence that satisfies the stated conditions.a1 = 40, d = -3, n =…

A: Formula to find the sum of arithmetic series helps to find the required sum. Formula to find the…

Q: Given the geometric sequence, find the value of r and a12. -1, 3, -9, 27, .. Or = -3 a12 = 177147…

A: We can find the correct answer in the following steps.

Q: Write the nth term of the following sequence in terms of the first term of the sequence. 1, 8, 15,…

A:

Q: The fourth term of an arithmetic sequence is 11, and the sixth term is 17. Find the second term.

A:

Q: State the first four terms of the geometric sequence with a =5 and r = 0.6 and give the limiting sum…

A: For the given geometric sequence, a = 5 and r = 0.6 We have to find the first four terms of this…

Q: Write the first four terms of the geometric sequence satisfying the following conditions: a, = 2,…

A: In general, The geometric sequence is, a, ar, ar2, ar3,.....    where, a= first term, r=common ratio…

Q: Find the fifth term and the nth term of the geometric sequence whose initial term, a, and common…

A: a=2, r= -5   an = a rn-1   an = 2*(-5)n-1 nth term of geometric sequence

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

A:

Q: The tenth term of an arithmetic sequence is 32, and the fifth term is 16. Find a, d, and the 20th…

A: Given: The tenth term of the arithmetic sequence is 32. The fifth term of the arithmetic sequence is…