a) Suppose the fifth term of an arithmetic sequence is 18 and the sum of the first eleven terms is 253. Calculate: i. the sum of of its first seven terms. ii. the sum from the eight term to the twentieth term. b) The sum of the first three terms of a geometric sequence with common ratio 1 is 42. Find the sum from the third to fifth term. 3 c) If a sequence is both geometric and arithmetic, show that every term of the sequence is the same.

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

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Q: How many terms does the sequence 12, 17, 22, 27, ..., 577 have? Note: a1 = 12.

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Q: What is the degree of the sequence 3, 6, 13, 25, 45, 78, ...? A degree of 1 B degree of 2 C degree…

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Q: The nth term in a sequence is an. How can you represent the next three terms in the sequence?

A: Given, A sequence with, n th term= an

Q: The second and fifth terms in an arithmetic sequence are 12 and 18 respectively. What is the 100th…

A: Use  an=a1+n-1d  to solve the problem.

Q: Determine the thirteenth term in the sequence whose nth term is an= -6n a. -66 b. 19 c. -78 d. 94

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Q: Sum: S12= A) Find the indicated sum. 6 + 9 + 12 + 15 + B) Find the partial sum S₁2 for the…

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Q: 4. In an arithmetic sequence, t₁0-11 and t18=27, determine the first 2 terms.

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Q: Which term of the arithmetic sequence 7,12,17,... is 352?

A: an=a+(n-1)d

Q: Find the 4 term of the geometric sequence 9, 54, 324, ... Answer:

A: Given : 9 , 54 , 324

Q: 1) Write the next four terms of the sequence: {42, 35, 28, 21, ...}. Express the nth term of the…

A: we have to slove the above question and find next four terms of the sequence

Q: 6. The first four terms of an arithmetic sequence are 2, a-b, 2a+b+7, a-3b. Find a and b.

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Q: 7.. Given the values of a and d, write the first three terms of the arithmetic sequence. Then, write…

A: We want to find general term.

Q: Find the missing variable in the geometric sequence and write the first few terms of the sequence

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Q: Which term of the arithmetic sequence 1, 9, 17, 25, It is the th term. Calculator ... is 297?

A: Given that  First term = a1 = 1 , Second term = a2 = 9 nth term = an = 297