Exercise 4. If the 1st and 15th terms an'arithmetic sequence are -5 and 23, respectively, find the 73rd term of the sequence.

Q: The sum of the first n terms of a geometric sequence is 341. If aj = and a4 , what is the value of…

A: 1. Geometric progression (GP) is a type of sequence where each succeeding term is produced by…

Q: Find the sum of the first 90 terms of the arithmetic sequence with first term 6 and common…

A:

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: How many terms of the arithmetic sequence {1,3,5,7,...} will give a sum of 961?

A:

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

A:

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

A:

Q: Find the sum of the first 70 terms of the arithmetic sequence with the first term 6 and common…

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

A: Topic = Sequence

Q: How many terms of the arithmetic sequence {2,4,6,8,...}will give a sum of 600?

A: The given arithmetic sequence is {2,4,6,8,.....} an the sum is 600 We know,

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

A:

Q: Find the sum of the first 28 terms of the arithmetic sequence. 36, 44, 52, 60, .. What is the sum of…

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: Find the 74th term of the arithmetic sequence –8, 0, 8, ...

A:

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: The geometric mean between the first two terms in a geometric sequence is 32. If the third term is…

A:

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: Find the sum of the first 50 terms of the arithmetic sequence: 16, 23, 30, 37, .. О 366

A: Given:  The given Arithmetic sequence is 16,23,30,37,.... To find :  Sum of first 50 terms of the…

Q: Find the sum of the first 13 terms of the arithmetic sequence. 5,9, 13, 17. . What is the sum of the…

A:

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. If the first term of an arithmetic sequence is 3 and the common difference is 4, what is the 23rd…

A: Topic = Sequence

Q: – 16, .. Write the arithmetic sequence – 4, – 8, – 12, in the standard form: An

A:

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: What three numbers can be inserted between 81 and 16, so that  the five numbers form a geometric…

A:

Q: The second and fifth terms of a geometric  sequence are 30 and 3750, respectively. Which term of the…

A: nth term of a geometric sequence is given by- an=arn-1 Where a is the first term and r is the common…

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: Determine the sum of the first 6 terms of the geometric sequence. 1,2, 4, .. So

A: A geometric progression is a type of sequenc in which ratio of two consecutive terms is always a…

Q: The 4th term and 15th term of an arithmetic sequence are 24 and 123 respectively. Find the 72nd…

A: Given problem Given that   The 4th term and 15th term of an arithmetic sequence are 24 and 123…

Q: What are the next three terms of the arithmetic sequence −14,−9,−4,1,...?

A:

Q: Find the number of terms of the arithmetic sequence. 11, 14, 17, 20, 23, … , 122

A:

Q: Find the sum of the first 14 terms of the geometric sequence shown below. 2, 6, 18, 54,... ***** The…

A: Given, Geometric sequence 2, 6, 18, 54 .... The objective is to find the sum of the first 14 terms.…

Q: Find the sum of the first 14 terms of the geometric sequence shown below. 2, 6, 18, 54, .. The sum…

A: Given that :  2 , 6,18,54,..... By using geometric sequence...  r = difference ratio.  a = first…

Q: Find the sum of the first 11 terms of the geometric sequence 4, -4, 4, .. 4

A:

Q: Find the number of terms in the geometric sequence 16, 8, 4, 2, ... , 16

A: The nth term of the GP with a as the first term, r as the common ratio is given by, an=arn-1

Q: If the third and fourth terms of an arithmetic sequence are 12 and 16, what are the first and second…

A:

Q: Fine the sum of the first 127 terms of the arithmetic sequence 14,9,4, 

A:

Q: If the third and fourth terms of an arithmetic sequence are −6 and −9, what are the first and second…

A: Given,

Q: Find the sum of the first 12 terms of the geometric sequence: 2, 6, 18, 54, . . .

A: Consider the following geometric sequence: 2, 6, 18, 54,... First term of the sequence: a=2 Common…

Q: The geometric mean between the first two terms in a geometric sequence is 32. If the third term is…

A: Topic - geometric progression

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

A:

Q: Find the number of terms in the geometric sequence. 16,8,4,2,..........,1/16

A: The given sequence is 16, 8, 4, 2, …,1/16.Here, the common ratio is 8/16 = 1/2.From the given…

Q: If the third term of an arithmetic sequence is I and the eighth term is -14" what is the sum of the…

A:

Q: Determine the sum of the geometric sequence if it exist. If the sum does not exist, write DNE.…

A: topic- sum of geometric sequence

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 11 terms of the geometric sequence shown below. 2, 8, 32, 128, . .... The…

A:

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.