SOLUTION: Given that 1 + 3 = 4 1 + 3 + 5 = 9 1 + 3 + 5 + 7 = 16 1 + 3 + 5 + 7 + 9 = 25 Determine a pattern and use it to find the sum of the first 300 odd numbers

Algebra.Com
Question 274609: Given that
1 + 3 = 4
1 + 3 + 5 = 9
1 + 3 + 5 + 7 = 16
1 + 3 + 5 + 7 + 9 = 25
Determine a pattern and use it to find the sum of the first 300 odd numbers

Found 2 solutions by Alan3354, CharlesG2:
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
Given that
1 + 3 = 4
1 + 3 + 5 = 9
1 + 3 + 5 + 7 = 16
1 + 3 + 5 + 7 + 9 = 25
n = 5, sum = 5^2
Determine a pattern and use it to find the sum of the first 300 odd numbers
The sum is the square of the number of terms.
300^2 = 90000

Answer by CharlesG2(834)   (Show Source): You can put this solution on YOUR website!
Given that
1 + 3 = 4
1 + 3 + 5 = 9
1 + 3 + 5 + 7 = 16
1 + 3 + 5 + 7 + 9 = 25
Determine a pattern and use it to find the sum of the first 300 odd numbers
4 = 2^2
9 = 3^2
16 = 4^2
25 = 5^2
25 + 11 = 36 = 6^2
the pattern is n^2
300^2 = 90000

RELATED QUESTIONS

Take a look at the following sums: 1=1 1+3=4 1+3+5=9 1+3+5+7=16 1+3+5+7+9=25... (answered by ikleyn)
`Take a look at the following sums: 1=1 1+3=4 1+3+5=9 1+3+5+7=16 1+3+5+7+9=25... (answered by solver91311)
explain an error pattern in each of the following A. 13/35=1/5, 27/73= 2/3, 16/64= 1/4 (answered by richard1234)
1, 3/4, 5/9,... (answered by ewatrrr)
I am having difficulty adding positive odd integers. Please exlain in the simplest form... (answered by stanbon)
Find the sum of the infinite series 1/(1 × 3 × 5)+1/(3 × 5 × 7)+1/(5 × 7 × 9)+1/(7 × 9 × (answered by psbhowmick)
Look at the patterns below. 1+3=4 1+3+5=9 1+3+5+7=16 1+3+5+7+9=25 How many... (answered by stanbon)
Given that a/b = 1- 1/2 + 1/3 - 1/4 + 1/5 - 1/6 + 1/7 - 1/8 + 1/9 - 1/10 , such that... (answered by ikleyn)
A data series is given for a periodic process: 0 1 2 3 4 5 6 7 8 9 10 1, 7 1, 7 2, 3 (answered by math_tutor2020)