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: A. Write the first four terms of the geometric sequence in which a, and r are as follows: 1. a, =7,…

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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: Instructions: • Write the GIVEN with their respective symbols and units. • Do not skip the…

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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: mine the number of terms in the geometric sequence; 6, 12, 24, ... , 49 152.

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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: 1. Classify the sequence and find the ninth term. Explain each step. -5, 15, -45, 135, –405,...

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Q: Find t and t in the arithmetic sequence 21,24,.. 10 %3D %3D 10

A: Given arithmetic sequence is : 21 , 24 ,.... First term a=21 Common difference d=24-21=3 To find the…

Q: 4) Veejay works as a car salesman. His monthly commission forms an arithmetic sequence. In the tenth…

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

A: Given : 9 , 54 , 324

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: 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: 2) For the arithmetic sequence 5, 8, 11, 14, ... Find a) The 50th term (a50). b) The sum of the…

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Q: Write the general term for the geometric sequence 3, 6, 12, 24, 48, . . . .Then use the formula for…

A: we have to write the general term for the geometric sequence 3, 6, 12, 24, 48, . . . . also we have…

Q: If the first term of an Arithmetic sequence is -6, and the common difference is - 1. Find the…

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Q: Write the next term of this geometric sequence: -3, 24, ..

A: Given sequence :-3,24