Question

In: Statistics and Probability

Find the first five terms of the following sequence, starting with n=1. an=−4n−3 Give your answer...

Find the first five terms of the following sequence, starting with n=1.

an=−4n−3

Give your answer as a list, separated by commas. For example, if an=n, you would give your answer as 1,2,3,4,5.

Solutions

Expert Solution

The given sequence is, an = -4n-3

Here we find the first five terms of the following sequence, starting with n=1. i.e we find the value of sequence for n = 1,2,3,4,5 .

1st term is = a1 = (-41)-3 = -4-3 = -7 [for n =1 ]

2nd term is = a2 = (-42)-3 = -8-3 = -11 [for n =2 ]

3rd term is = a3 = (-43)-3 = -12-3 = -15 [for n =3 ]

4th term is = a4 = (-44)-3 = -16-3 = -19 [for n =4 ]

5th term is = a5 = (-45)-3 = -20-3 = -23 [for n =5 ]

Answer:- -7,-11,-15,-19,-23


Related Solutions

Given the geometric sequence an = 4n . Find the first three terms and the common...
Given the geometric sequence an = 4n . Find the first three terms and the common ratio.
Find the first four terms of the sequence (an)n≥1 with the given definition. Determine if they...
Find the first four terms of the sequence (an)n≥1 with the given definition. Determine if they are potentially arithmetic or geometric. (a) an is the number of n-bit strings which have more 1’s than 0’s. (Also, write down the strings for n ≤ 4.) (b) an is the number of n-bit strings in which the number of 1’s is greater than or equal to the number of 0’s in every prefix. For example, 010111 would not qualify, since the prefix...
What are the first five terms of the geometric sequence a1 = 3, an = 4 ⋅ an − 1 ?
What are the first five terms of the geometric sequence a1 = 3, an = 4 ⋅ an − 1?
Google the first 50 numbers of the Fibonacci sequence (starting with 1) to answer the following...
Google the first 50 numbers of the Fibonacci sequence (starting with 1) to answer the following questions:          (a) Test to see if the leading digits conform to Benford’s law. Do this both graphically and analytically.          (b) Using the first 10 odd numbers in the sequence as sample 1 and the first 10 even numbers in the sequence as sample 2, use Wilcoxon’s Rank-Sum to test the claim that the numbers come from different populations.          (c) Repeat (b)...
For the following exercises, use the recursive formula to write the first five terms of the arithmetic sequence. a1 = 39; an = an − 1 −3
For the following exercises, use the recursive formula to write the first five terms of the arithmetic sequence. a1 = 39; an = an − 1 −3
series from n=1 to infinity of (4n) / [ (3n^3/2) +7n -9]. the answer should include...
series from n=1 to infinity of (4n) / [ (3n^3/2) +7n -9]. the answer should include if its converging or diverging by which method
5. Find the sum of terms in given arithmetic sequence 1 + 3 + 5 +...
5. Find the sum of terms in given arithmetic sequence 1 + 3 + 5 + ... + 59 6. Find the sum of terms in given arithmetic sequence 2 + 5 + 8 + ... + 41 7.Given a geometric sequence 6 + 2 + 2/3 + ... is this sequence converging or diverging, if it is converging find it's sum
Write the first four terms of the sequence defined by the recursive formula a1 = 2, an = an − 1 + n.
Write the first four terms of the sequence defined by the recursive formula a1 = 2, an = an − 1 + n.
Find a sequence {an} whose first five terms are -2, 8/2, -26/6, 80/24, -242/120 …. and...
Find a sequence {an} whose first five terms are -2, 8/2, -26/6, 80/24, -242/120 …. and find if it was converge or diverge
For the following exercises, write the first five terms of the geometric sequence, given the first term and common ratio. a1 = 5, r = 1/5
For the following exercises, write the first five terms of the geometric sequence, given the first term and common ratio. a1 = 5, r = 1/5
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT