\(S_n=n/2(a_1+a_n)\) (sum of artemetic mean)

\(S_60=60/2(2+120) (a_1=2,a_n=120)\)

\(S_60=30(122)\)

\(S_60=3660\)

\(S_60=60/2(2+120) (a_1=2,a_n=120)\)

\(S_60=30(122)\)

\(S_60=3660\)

Question

asked 2020-11-09

the sum of the first 8 terms of a geometric sequence is 6560. The common ratio is 3. What is the third term of the sequence?

asked 2021-02-05

Find the first six terms of the sequence defined by each of these recurrence relations and initial conditions.

a) an = (an−1)2 , a1 = 2 ( Just find its general formula )

a) an = (an−1)2 , a1 = 2 ( Just find its general formula )

asked 2020-12-05

Several terms of a sequence {a_n}_(n=1)^oo are given.
a. Find the next two terms of the sequence.
b. Find a recurrence relation that generates the sequence (supply the initial value of the index and the first term of the sequence).
c. Find an explicit formula for the nth term of the sequence.
{1, 3, 9, 27, 81, ...}

asked 2021-02-16

First six terms of the sequence
an=4-n

asked 2021-03-08

A soup kitchen makes 16 gallons of soup. Each day, a quarter of the soup is served and the rest is saved for the next day. Write the first five terms of the sequence of the number of fluid ounces of soup left each day. Write an equation that represents the nth term of the sequence. When is all the soup gone?

asked 2020-12-24

The first of an arithmetic sequence is 2 and has the property that its second, third, and seventh terms are consecutive terms of a geometric sequence.

asked 2020-11-30

The Palmers and the Reynolds are saving money for a trip to Utah to go snowboarding. The Arnolds are going to save a nickel on the first day of the month and then double the amount each day for a month. The Gaineys are going to start their savings by saving $10 on the first day and then $10 each day of the month.
Write a recursive and explicit formula for each option.

asked 2021-02-09

Give an example of two divergent sequences (an) and (bn) such that their sum (an+bn) is convergent.

asked 2021-01-19

Find a recurrence relation for the number of sequences of yellow and purple stones of length N, where each sequence has the property that no two adjacent stones are purple.

asked 2020-11-26

WRITE A RULE FOR THE nth TERM OF THE ARITHMETIC SEQUENCE THEN FIND a_25: {1.6,4,6.4,8.8,11.2,…} *