The first term of an arithmetic sequence is 12, and the tenth term is 4. (a) Find the common difference d. d = Find the 100th term of the sequence. a100 %3D (b) Find the partial sum of the first ten terms.

Q: Find the nth term, the fifth term, and the tenth term of the arithmetic sequence.-7, -3.9, -0.8,…

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Q: Find the nth term of the geometric sequence whose initial term is a1 = 7.5 and common ratio is 8.…

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Q: Find the indicated term of the arithmetic sequence with first term, a1, and common difference, d.…

A: a1=13  &  d=4

Q: Find the common difference d and the nth term an of the arithmetic sequence

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Q: Find a formula for the nth term of the arithmetic sequence. First term 1.7 Common difference 0.5

A: Find a formula for the nth term of the arithmetic sequence. First term 1.7 Common difference 0.5

Q: Find the nth term of the arithmetic sequence {a,} whose initial term a and common difference d are…

A: The question is solved for arithmetic sequence

Q: For an arithmetic sequence, a34=68. If the common difference is 3, find: a1=    the sum of the…

A: We know that in A.P. , nth term is given by  an = a+(n-1)d  Sum of n terms -  Sn =( n/2)[2a+(n-1)d]…

Q: Find the 6th term of a geometric sequence is the first term is 2 and the common ratio is 3 a6=

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Q: Find the indicated term for the geometric sequence with the first term, a1, and common ratio, r.…

A: Given that the first term of the geometric series a1=8 and the common ratio of the geometric…

Q: The 7th term of the geometric sequence whose first term is 6 and the common ratio is is 3 256 729…

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Q: Write the first five terms of the geometric sequence. a 1 = 6; r = 3

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Q: th For a given arithmetic sequence, the 40 term, a, is equal to -324, and the 72n term, a,, is equal…

A: Arithmetic sequence: In an arithmetic sequence a1, a2, a3, ……, an, an+1, ……, the difference ai-ai-1…

Q: An arithmetic sequence is a sequence in which each term after the first differs from the preceding…

A: Given That: Definition of Arithmetic sequence.

Q: Find the nth term and the indicated term of the arithmetic sequence whose initial term, a, and…

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Q: 6. Find the 15th term of the arithmetic sequence whose common difference isd = -5 and whose first…

A: Given: Common difference ,d = -5 and the first term of the arithmetic sequence  is a1= 10 To find:…

Q: c) find the sum of the first 201 terms of this sequence.

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Q: Use the formula for the general term (the nth term) of an arithmetic sequence to find the 50th term…

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Q: Find the 20th term of the geometric sequence given the first term is -7 and the common ration is…

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Q: Write the first five terms of the geometric sequence. a 1 = 3; r = 1/4

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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: Find the indicated term for the arithmetic sequence with first term, a, and common difference, d.…

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Q: Find the nth term of the geometric sequence with given first term a and common ratio r. a = -2, r =…

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

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Q: Find the partial sum S10 for the arithmetic sequence with a = 8, d = 4. S1o =

A: Find the 10th term for the arithmetic sequence.

Q: Find the nth term of the geometric sequence with given first term a and common ratio r r = - What is…

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Q: What is a common ratio of the geometric sequence whose first term is 5 and third term is 245? 5 1)7…

A: The geometric series has first term is 5 and the third term is 245   Geometric sequence formula:…

Q: Find the 7th term of the geometric sequence with the given terms. a4 = -8 and a5 = -40 %3D %D

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

A: The first term and the common ratio of the geometric sequence are a1 = 3 and r = 6 To evaluate: The…

Q: Find the nth partial sum of the arithmetic sequence for the given value of n. 0,-9, -18, -27, ... n…

A: As we know that; The formula for the nth partial sum of arithmetic sequence is: Sn=na1+an2 Where; a1…

Q: write the first five terms of the geometric sequence. a,=3, r=3

A: Given : a1 = 3 r = 3

Q: Find the nth term of the geometric sequence with given first term a and common ratio r. a = -5, r=…

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Q: The middle term of an arithmetic sequence equals 17, the last term = 32, and the fourth term = 11.…

A: Given middle term = 17 Last term = 32 Fourth term = 11 T4 = a+3d = 11 Middle term = T6 = a+5d = 17…

Q: Given aニ12 and for geometric sequence, find the sixth term.

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Q: Write the first five terms of the geometric sequence. an = 5an-1; a1 = 4

A: Fro the given problem: an=5an-1  And a1=4 So, The 2nd term is: an=5an-1    a2=5a2-1a2=5a1a2=54=20

Q: Find the 7h term of the geometric sequence:

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Q: The first two terms of the arithmetic sequence are given. Find the missing term. a1 = -0.6, a2 = -14…

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Q: Find the indicated term of the geometric sequence. an= (n-1) 6, where a1 = -2. Find a4. %3D a4=

A: We will solve the given question using two different methods. In the first method we will solve step…

Q: Find the common ratio and write out the first four terms of the geometric sequence -1 6n 7 Common…

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Q: Use the graph to identify the common ratio of the geometric sequence. 15 10 -5

A: Answer

Q: Find the specified term of the arithmetic sequence that has the two given terms.a15; a3 = 7, a20 =…

A: Given for an A.P ,a3=7,a20=43 To find: a15 Solution: We know,nth term of an arithmetic sequence…

Q: The first term of an arithmetic sequence is 13, and the tenth term is 5. (a) Find the common…

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Q: In an arithmetic sequence, the first term is -8 and the sum of the first 20 terms is 790 Whats the…

A: By using sum of arithmetic sequence formula, we calculate the common difference of arithmetic…

Q: th For a given arithmetic sequence, the 36 term, a36, is equal to 142, and the 87 term, ag7, is…

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Q: Find the nth term of the arithmetic sequence {an} whose initial term a and common difference d are…

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Q: The fourth term of an arithmetic sequence is 14, and the 20th term is 110. Find the common…

A: As we know that the nth term of the arithmetic sequence is: tn=a+(n-1)d Where 'a' is the first term…

Q: Find the nth term of the arithmetic sequence with given first term a and common difference d. What…

A: The answer is found in step-2

Q: Find the nth term of the arithmetic sequence with given first term a and common difference d. What…

A: The first term of the AP is  a = -0.5 Common difference of the AP is d = -0.4 To evaluate : The…

Q: <th For a given arithmetic sequence, the 6 term, a, is equal to 26, and the 35 term, azs, is equal…

A: Let a be first term of A.P.  And, d be the common difference, then

Q: Give the first 4 terms of the geometric sequence with a = 1 and r = 6. Give your answers as reduced…

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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…