In the sequence 1,4,5,6,7,8,10,16,18,... each number after the first two is the next number that can be expressed as the sum of two previous numbers in only one way. For example,10 is included because...

In the sequence 1,4,5,6,7,8,10,16,18,... each number after the first two is the next number that can be expressed as the sum of two previous numbers in only one way. For example,10 is included because...

The first four terms of a sequence are 3/2, 15/16, 75/128, and 375/1024. Determine S24. Round your answer to four decimal places

On January 1, 2026 Janice put $450 in a savings account. She had to choose between two accounts. The account at her mothers bank pays 4.2% interest once at the end of the year. The account her fathers...

a. bn = 2n + 3 b. dn = (-1)n • n2

Musical tones. The note middle C on a piano is tuned so that the string vibrates at 262 cycles per second or 262 HZ (Hertz). The C note one octave higher is tuned to 524 HZ. The tuning for the 11...

Math question

Musical tones. The note middle C on a piano is tuned so that the string vibrates at 262 cycles per second or 262 HZ (Hertz). The C note one octave higher is tuned to 524 HZ. The tuning...

If a1+a2+a3+...+a80=2012 and the sequence has a common difference of 5, what is the sum of a2+a4+a6+...+a80? I cannot figure out how to do this! Any help...

I have a series (Un)n∈Ν. U0=2 and Un+1=1/4(Un)+1. I need to find a series (Vn)n∈Ν and a∈R such that Vn=Un+a and that (Vn) is geometric.

Determine whether the sequence is increasing, decreasing, or not monotonic. an = 1/(6n+7) Is the sequence bounded? Yes or No? Explain.

Determine whether the sequence is increasing, decreasing, or not monotonic. an = 4n(−7)n Is the sequence bounded? Yes or No? Explain.

I need to know the next seven terms and the rule used to generate them.

consider the sequence defined recursively as: a1=25 and an+1=(-1)n/5an The second term is?? Please help and show every step to the problem and...

limit n->infinity −(7.2^n+5.5^n/7+3.5^(n+1))?

The entry level salary for a teacher is $24000 with a 3% increase after every year of service. Write a sequence for the first 5 years of service. Find the general term of sequence...

To save money for holiday presents, a person deposits $15 in a savings account on January 1, and then deposits an additional $15 every week thereafter until Christmas. A. Write...

Write the first five terms of the recursively defined sequence: a1=7, an+1=-2an+3. Please show Step by Step work for the solution as well as provide the final...

Determine whether the sequence is arithmetic. If it is, find the first term and the common difference. an=2n+6, n≥1. Please show Step by Step work for solution and...

Let an represent the nth term of the sequence 1, -1,2,-2,3,.... Is the sequence arithmetic? Yes or No? give reason for answer. (a) yes. Because the common difference...

In a game a basket and 16 potatoes are placed in line at equal intervals of 6 feet. how long will a competitor take to bring the potatoes one by one into the basket , if he starts from the basket...

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