Choose the explicit and recursive formulas for the geometric sequence 45, 135, 405, 1215, 3645, ... O A. an = 45(3)"; an = 3(an), a1 = 45 B. an = 45(3)" -1; a, = 3(an - 1), a1 = 45 C. an = 45(3)" *1; an = 3(an+ 1), a1 = 45 %3D

Q: Find the sum of the first 25 terms of the arithmetic sequence: 7, 19, 31, 43, .....

A:

Q: Find the recursive and explicit formula for each arithmetic sequence. Explicit formulas need to be…

A:

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

A: Given: 3+6+12+24+......... we all know that sum of n terms of geometric sequence is given by…

Q: What is the 46th term in the arithmetic sequence –1.5, –1.3, –1.1, -0.9, .?

A: we have to find out the 46th term

Q: Find the 5th term of the geometric sequence with first terma1 = 5 and common ratio r = - 2

A: A geometric sequence is a sequence where each term is found by multiplying the previous term by a…

Q: Find the number of terms in the given finite arithmetic sequence 12,8,4,0,...-188

A:

Q: Find the sum of the first 22 terms of the arithmetic sequence: 5, 12, 19, 26, . . . .

A:

Q: Find the sum of the first 40 terms of the arithmetic sequence whose first term is −15 and whose…

A: Given,         The sum of the first 40 terms of the arithmetic sequence whose first term is −15 and…

Q: 2) Find the sum of the first 100 terms of the arithmetic sequence: 2, 4, 6, 8, 10, 12, ...

A: The arithmetic sequence: 2,4,6,8,10,12,.......

Q: Find the sum of the first 8 terms of the geometric sequence 3,6,12,…

A: First term= a= 3 Common ratio= r= 6/3= 2

Q: Find the sum of the first 14 terms of the geometric sequence: - 3/2, 3, -6, 12, . . . .

A: The given geometric sequence is -32,3,-6,12,.. here the first term of the sequence is -32. find…

Q: The 12th term of an Arithmetic sequence is 240 while the 7th term is 196. Find the 10th term of the…

A: Consider the given 12th term of an Arithmetic sequence 240 and  term 7th of an Arithmetic sequence…

Q: Find the sum of the first 5 term of geometric sequence where first term is 3/5 and where common…

A:

Q: The sum of the first 20 terms of the sequence 0.7, 0.77, 0.777, ... is

A: The given sequence is 0.7,0.77,0.777,...... The sum geometric sequence with common ratio r<1 ,of…

Q: What are the next three terms of the geometric sequence 3, 12, 48, . . . ?

A:

Q: What is the 46th term in the arithmetic sequence –1.5, –1.3, –1.1, -0.9, ...?

A:

Q: Find the sum of the first 7 terms of the geometric sequence: 8, 4, 2, 1, . . . .

A: To Find The sum of the first 7 terms of the geometric sequence: 8,4,2,1,…. Concept: Sum of first…

Q: Find the sum of the first 14 terms of the arithmetic sequence. 5, 10, 15, 20, 25, ...

A: Given:

Q: What are the initial term and a recursive formula for this sequence: 4, 7, 10, 13, ......

A: The given sequence is 4,7,10,13,... the common difference is 7-4=3,10-7=3,... therefore, the common…

Q: Find the sum of the first 27 terms of the arithmetic sequence. 19, 28, 37, 46, .. What is the sum of…

A: Topic = Sequence

Q: Write down the first five term of the geometric sequence with has first term of 1 and common…

A:

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

A:

Q: Find the sum of the first 37 terms of the arithmetic sequence. 29, 36, 43, 50,

A: Given,          The sum of the first 37 terms of the arthmetic sequence             29 , 36 , 43 ,…

Q: Find the specified term of the geometric sequence. 6th term: 5, 15, 45, . . .

A: sequence is 5,15,45,......... first term, a1 = 5 r = a2/a1    = 15/5     = 3

Q: What is the 11th term of the geometric sequence −1.5, −3, −6, −12, ...

A:

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: Here are the first two terms of a geometric sequence: 2, 4. What are the next three terms?

A: First-term, a=2 Common ratio, r = 4/2 = 2

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 sum of the first 11 terms of the geometric sequence: 3, -6, 12, -24, . .

A:

Q: Find a formula for the general term anan of the arithmetic sequence (starting with a1a1):…

A: First find the common difference of the given arithmetic sequence than put in the formula for nth…

Q: Use the formula for the sum of the first n terms of a geometric sequence to:

A: The given geometric series is: -32, 3, -6, 12,....  The first term of this series is a=-32 and the…

Q: What is the 8th term of the geometric sequence 48, 24, 12, 6, 3, ...

A:

Q: What are the explicit equation and domain for an arithmetic sequence with a first term of 7 and a…

A: The Arithmetic Sequence Explicit formula allows the direct computation of any term for an arithmetic…

Q: Find the first four terms of the arithmetic sequence whose first term is 6 and whose common…

A:

Q: Find the sum of the first 36 terms of the arithmetic sequence with first term 5 and 36th term 110.

A: Given first and 36th term is 5 and 110.

Q: How many terms are there in an arithmetic sequence with first  term 12, common difference −2, and…

A: Using formula.

Q: Find the sum of the first 8 terms of the geometric sequence if the first term is 5 and the common…

A:

Q: What is the sum of the first 13 terms of the given geometric sequence: 1,2,4,8,16,

A: To solve this problem, we use  the result of the sum of geometric sequence.

Q: If the first term of a geometric sequence is 0.9 and its ratio is 0.2, what is the sum of the first…

A:

Q: The sum of the first three terms of an arithmetic sequence is 45, and its 5th term is 24. What is…

A: We can find the 8th term of the GP as below

Q: the 4th term of an arithmetic sequence is 7 and its 7th term is 16, find its 10th term

A:

Q: Find the 13th term of the geometric sequence 6, – 30, 150, ...

A: The first term is, a1 = 6  &, The common ratio is, r = - 5

Q: Write down the first six terms of the geometric sequence with first term 5 and common ratio -1.…

A:

Q: Find the sum of the first five terms of the geometric sequence with first term 3 and common ratio 2.

A:

Q: Find the first five terms of the recursively defined infinite sequence.

A: Find the first five terms of the recursively defined infinite sequence.

Q: what is the sum of the first four thousand terms of the geometric sequence with initial term 3 and…

A: Given first term of G.P, a=3 And common ratio, r=-1 Here, r<1 We know that if r<1 then sum of…

Q: Find the sum of the first 11 terms of the geometric sequence: 7, -21, 63, -189, 567, . . . .

A:

Q: Find the sum of the first 7 terms of the Geometric Sequence 3, 6, 12, 24, …

A: We can solve the problem by geometric progression rules.

Q: An arithmetic sequence has a first term of 0 and a 9th term of 12. Which term number corresponds to…

A:

Q: When using a1rn-1 to find the nth term of a geometric sequence,what should I do first?

A: To find the nth term of a geometric sequence, we use the formula an=a1 rn-1.

Q: a. What would be the population size in 7 years. b. Fund the sum of the first eight terms of the…

A: Given; P0=5000 Rate=2%=0.02 the sum of the first eight terms of the sequence 18,-14,12,.... Formula…

Q: Find the sum of the first 50 terms of the arithmetic sequence with the first term 10 and the common…

A: The first term of the arithmetic sequence is a=0. The common difference is d=12. The number of term…

Q: Find the sum of the first 109 terms of the arithmetic sequence: 3, 7, 11, 15, 19, ..

A: Given : 3, 7, 11, 15, 19…

Q: Find the sum of the first 100 terms of an arithmetic sequence with 15th term of 90 and first term of…

A: 15th term is 90 and the first term is 6 of an arithmetic sequence. To find the sum of its first 100…

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.