Question

**Given two terms in an arithmetic sequence find the
common difference, the 52nd term, and the explicit
formula.**

**a _{11} = -
325 and a_{39} = - 1165**

Answer #1

For an arithmetic sequence, a34=20. If the common difference is
-5, find:
First term:
Sum of first 66 terms:

The first difference of a sequence is the arithmetic sequence 1,
3, 5, 7, 9, .... Find the first six terms of the original sequence
in each of the following cases.
a. The first term of the original sequence is 2.
b. The sum of the first two terms in the original sequence is
9.
c. The fifth term in the original sequence is 32.

part 1: for the arithmetic sequence where a2=66 and
a5 =81, Find a formula for an, and find the
term a97.
part 2: find the mean of the 9th through the 60th terms,
inclusive, of the sequence in part 1.

Choose seven consecutive terms in any arithmetic sequence and
check that the arithmetic average (the sum of the seven terms
divided by 7) equals the middle term. Prove that the result is true
for every arithmetic sequence. give me a paragraph to explain.

1) The twelfth term of an arithmetic sequence is 118, and the
eighth term is 146. Find the nth term. (3 points)
2) A partial sum of a geometric sequence is given. Find the sum.
(3 points)
3) Determine wether the given infinite geometric series is
convergent or divergent. If the series is convergent, then find its
sum. (4 points)
a) b)

1)
Write nth term suggested by pattern.
1, 1/4, 1/16, 1/64, ...
2) Find first term (a1), the common difference (d), and give a
recursive formula (an) for sequence.
8th term is 55; 15th term is 118
3) Find the nth term and the indicated term of arithmetic
sequence whose initial term and common difference are given.
first term=6
common diff= -10
nth term?
13th term?

Find the general term, an, for the following
arithmetic sequence a9 = 27, a15 = 20

write the first 4 terms of the sequence whose nth term is given
by the formula:
an= n− 2/n

1. Write the explicit rules for the following sequences:
A) 1/2, 2/5, 3/10, 4/17, 5/26, 6/37,.....
B) 3, -5/1, 7/6, 9/24, 11/120,...
2. Given two terms of the arithmetic sequence find the common
difference, the first term, and the explicit formula ( a subscript
n)
a) a subscript 17= 105
a subscript 40 = -30
b) a subscript 10
a subscript 40= 100
b)

The sum of the first 14 terms of an arithmetic sequence of real
numbers is 20 and the sum of the next 20 terms is 14. Find the
largest positive integer K for which the sum of the first K terms
of this sequence is positive.

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