The sum of all the even integers between 99 and 301 is 20200
To find the sum of even integers between 99 and 301, we will use the arithmetic progressions(AP). The even numbers can be considered as an AP with common difference 2.
In this case, the first even integer will be 100 and the last even integer will be 300.
nth term of the AP = first term + (n-1) x common difference
⇒ 300 = 100 + (n-1) x 2
Therefore, n = (200 + 2 )/2 = 101
That is, there are 101 even integers between 99 and 301.
Sum of the 'n' terms in an AP = n/2 ( first term + last term)
= 101/2 (300+100)
= 20200
Thus sum of all the even integers between 99 and 301 = 20200
Learn more about arithmetic progressions at brainly.com/question/24592110
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Answer:
y=4x+13
Step-by-step explanation:
Ig, hope it helps
Answer:
49
Step-by-step explanation:
25b² + 70b + ....
( 5b + 7)² = 5×5b² + 2×5×7b + 7×7 = 25b² + 70b + 49
Answer:
1) 
2) 
Step-by-step explanation:
You can convert he mixed numbers to improper fractions:
1. Multiply the whole number part by the denominator of the fraction.
2. Add the product obtained to the numerator.
3. The denominator does not change.
Then:
Observe that, in each subtraction, the denominators are equal, then you can rewrite the denominator and subtract the numerators:
Divide 15 by 4. The quotient will be 3 and the remainder 3.
Then:
