# maths

given 1,0.5,4,o.25,7,0.125,10
assume this pattern continues consistently
1.write down the 33th term in this sequence
2.determine the sum of the first 24 terms in this sequence.give the answer to five decimal place

2.1.in a geometric sequence the fourth term is root of 3 and the seventh term is root of 81 determine the first term and the constant ratio

1. 👍 0
2. 👎 0
3. 👁 116
1. #1
for n odd, Tn = 3n-2
For n even, Tn = 1/2^n

#2
r^3 = T7/T4 = √81/√3 = √27
r = √3
Now you can find a

1. 👍 0
2. 👎 0
posted by Steve

## Similar Questions

1. ### Calculus 2 - Series

I am so confused on how to do series problems...especially these. How can you tell the pattern and determining the formula for them? Can someone please help? 26) Write the first five terms of the sequence {an} whose nth term is

asked by Helen on March 29, 2015
2. ### Math

Please help. 51. Solve: 125=(x3)/0.3^-3 a.7 b.14 c.15 d.9 53. 49x-2 = 7Ö 7 a.-5/4 b.5/4 c.11/4 d.-11/4 60. Simplify: 2log^3 6 - log^3 4 a.3 b.6 c.4 d.2 61. Solve the equation: logb (x^2 + 7) = 2/3logb 64 a.9 b.3 c. √23 d. ±3

asked by Holly on May 21, 2013
3. ### math 140

Use differences to find a pattern in the sequence. 1,1,11,36,81,151,251 Assuming the pattern continues, the eight term should be.

asked by betsy on April 4, 2013
4. ### Algebra

I am so lost on these problems. Write a geometric sequence that starts with 3 and has a common ratio of 5. What is the 23rd term in the sequence. Write an arithmetic sequence that has a common difference of 4 and the eighth term

asked by Randy on June 17, 2016
5. ### math

Write the first five terms of the sequence defined recursively. Use the pattern to write the nth term of the sequence as a function of n. (Assume that n begins with 1.) a (subtext) 1 =4,a (subtext) (k+1) =−a (subtext) k a. a

asked by leah on August 27, 2016
6. ### Algebra II

1. Which represents the first two terms of the sequence: a_1 = 2 and a_n = -2(a_n-1)^2 option a. -8, -128 option b. 16, 1024 option c. -2, 16 option d. 2, -8 2. Which is the seventh term in the sequence: a_n = -1/125 * 5^n-1

asked by 1234White5678 on April 6, 2016
7. ### Math

Look for a pattern and find the next two numbers in the sequence and then write a general version of the nth term. 1 2 3 4 5 6 7 8 n 18 30 42 54 66 78 I can recognize the pattern as being + 12 so under 7 my answer would be 90 and

asked by Sam on March 9, 2016
8. ### Math

Look for a pattern and find the next two numbers in the sequence and then write a general version of the nth term. 1 2 3 4 5 6 7 8 n 18 30 42 54 66 78 I can recognize the pattern as being + 12 so under 7 my answer would be 90 and

asked by Sam on March 9, 2016
9. ### Math

For the sequence, describe the pattern, write the next term, and write a rule for the nth term. 2/3,4/4,6/5,8/6,...

asked by Pedro on March 1, 2011
10. ### Math

Etienne owns a small recycling company that picks up empty glass bottles from restaurants. At the first restaurant, he picks up 50 bottles. At each restaurant after this, he picks up 4 more bottles than he picked up at the

asked by Alex on September 17, 2014

More Similar Questions