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A: The Fibonacci sequence defined by, F1=1, F2=1 and Fn=Fn-1+Fn-2
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A: Given:First term = a = 8common difference =d = 1/2We will find the sum of first 90 terms So n = 90
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A: Since you have asked multiple questions, we will solve the first question for you. If you want any…
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Q: 1-6 - Terms of a Sequence Find the first four terms as well as the tenth term of the sequence with…
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Q: SUM of the first 48 terms of the sequence given below: -11, –7, –3, 1. The sum of the first 48 terms…
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Q: A Diginacci sequence is created as follows. • The first two terms are any positive
A: Diginacci sequence
Q: town has a population of 5000 persons, but is expected to grow by 2% every year. (i) What wound be…
A: Since you have asked multiple question, we will solve the first question for you . If you want any…
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Q: 1. Find the 10th term of an arithmetic sequence with first term of 6, and common difference of 4
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Q: (a) A town has a population of 5000 persons, but is expected to grow by 2% every year. (i) What…
A: Hey, since there are multiple questions posted, we will answer first question. If you want any…
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- How is finding the sum of an infinite geometric series different from finding the nth partial sum?5 th term of a geometric sequence is -80 and its 10 th term is 2560. Calculate the following. Show all work. 14 th term of the sequence Sum of the first 14 terms Which term is -20480?How to insert an infinite end-number for the summation notation. How to solve this question.
- 2 nd term of an arithmetic sequence is 16 and its 8 th term is -8. Calculate the following. Show all work. 16 th term of the sequence Sum of the first 16 terms of the series. Which term is -100?A geometric sequence whose first term = 2 and whose sixth term = 64, i) find the first six terms ii) arithmetic meansSuppose that n > 5 and that the numbers t1, t2, t3, . . . , tn−2, tn−1, tn form an arithmetic sequence with n terms. If t3 = 5, tn−2 = 95, and the sum of all nterms is 1000, what is the value of n?(An arithmetic sequence is a sequence in which each term after the first is obtained from the previous term by adding a constant, called the common difference. For example, 3, 5, 7, 9 are the first four terms of an arithmetic sequence.)
- A decreasing sequence where cn is greater than or equal to 1 for all n. If this sequence could either diverge or converge, give examples of both. Otherwise, explain why it must converge or must diverge.1. Find the sum of the terms of an infinite geometric sequence whose first term is 4 and common ration is 1/5. 2. Given the sequence 9,3,1,..., find SinfiniteThe first week, a patient engages in various exercies for 4 minutes every hour while awake. For each week after the first week, the exercies time increases by 3 minutes. Model the time spent exercising each hour while awake for a given week using a sequence, expressed in nth term form. Use this model to predict the amount of time spent exercising each hour after 10 weeks.