# Math

can anybody show me step by step?
Find the sum.
(a) 1/3+ 2/3^2+ 2^2/3^3+ 2^3/3^4+.......... + 2^9/3^10

S10 =

(b) 1 + 1/2^1/2+ 1/2+ 1/2^3/2+

S =

1. 👍
2. 👎
3. 👁
1. first term = 1/3
term(n+1) = (2/3) term(n)
geometric sequence with a = 1/3 and r = 2/3

look here: http://www.mathsisfun.com/algebra/sequences-sums-geometric.html

1. 👍
2. 👎

## Similar Questions

1. ### Maths!

Find the sum of all multiples of 5 between 100 and 300 inclusive. Ans: 8200 I do not know how to do this. Really do appreciate step by step workings and explanation. Thanks!

2. ### calculus

h(t)=cot t a.) [pi/4,3pi/4] b.) [pi/6,pi/2] Find the average rate of change of the function over the give n interval and intervals. Please show step by step instructions. Thanks

3. ### PreCalc

Approximate the solutions to the following equation on the interval [0,2π). Round your answer to four decimal places. sinθ=0.65 Apparently, there suppose to be two answers to this question with a comma separating​ both

4. ### Geometry

The sum of the angle measures of a polygon w/ "s" sides is 2880. Find "s" Please help with step-by-step explanation, so I can fully understand it. Thank you.

1. ### Pre Calc

find the magnitude and direction angle of the vector v, v=-2i+5j please help i have no idea how to do this. could you show me step by step?

2. ### math

Consider the sequence of steps to solve the equation: 5(x - 3) = 7x 2 Step 1 ⇒ 10(x - 3) = 7x Step 2 ⇒ 10x - 30 = 7x Step 3 ⇒ 3x - 30 = 0 Step 4 ⇒ 3x = 30 Step 5 ⇒ x = 10 Identify the property of equality which yields

3. ### Math

If y varies directly as x and y=3 when x=10, find x when y=8? Can you please show me step by step solution for this problem?

4. ### math

Consider the sequence of steps to solve the equation: 2(x − 4) + 6x = 9x − 10 Which step in solving this equation is justified by the Commutative Property of Addition? Given ⇒ 2(x − 4) + 6x = 9x − 10 Step 1 ⇒ 2x − 8

1. ### music

quiz name: step ladder 1. click the play button to listen to the audio samples. how would you define the step between the notes in this clip? a. half step b. whole step c. same pitch d. leap across many steps

2. ### Help PLZ!!

consider the steps to simplify the expression. Which property is used to reach Step 3? Expression: -4 3 7 + 7 + (-3 4 7 ) Step 1: = -4 3 7 + (-3 4 7 ) + 7 Step 2: = -4 + (- 3 7 ) + (-3) + (- 4 7 ) + 7 Step 3: = -4 + (- 3 7 ) + (-

3. ### math

Tom is showing his work in simplifying (5.2 – 8.5) – 0.5 + 6.8. In which step did Tom make an error? Step 1:: (5.2 – 8.5) – 0.5 + 6.8 Step 2: 5.2 + (–8.5 – 0.5) + 6.8 (distributive property) Step 3: 5.2 – 9 + 6.8

4. ### Dynamics

Find the angle of banking for a highway curve of 300 ft radius design to accommodate cars traveling at 100 mph, if the coefficient friction between the tires and the road is 0.6. What is the rated speed of the curve? show solution