The difference between the sum of the first 15 odd natural numbers and the sum of the first 15 even natural numbers is a. 1b. 153. 304. 45 About the author Alaia
Answer: 15 Step-by-step explanation: let the AP of first odd numbers be 1, 3,5 …. a=1 , d=2 ,n =15 AP of forst even number be 2, 4,6 … a=2 ,d=2, n=15 sum of odd numbers S= 15/2 [2 +14(2)] = 15/2 [28+2] = 15/2(30) =15×15 =225 sum of even numbers S= 15/2[4+14(2)] = 15/2(4+28)] =15/2(32) = 15 ×16 = 240 difference between them, 225-240=15 Reply
Step-by-step explanation: the sum of first 15 even number= 225 the sum of first 15 odd number = 210 the difference = 15 Reply
Answer:
15
Step-by-step explanation:
let the AP of first odd numbers be 1, 3,5 ….
a=1 , d=2 ,n =15
AP of forst even number be 2, 4,6 …
a=2 ,d=2, n=15
sum of odd numbers
S= 15/2 [2 +14(2)]
= 15/2 [28+2]
= 15/2(30)
=15×15
=225
sum of even numbers
S= 15/2[4+14(2)]
= 15/2(4+28)]
=15/2(32)
= 15 ×16
= 240
difference between them,
225-240=15
Step-by-step explanation:
the sum of first 15 even number= 225
the sum of first 15 odd number = 210
the difference = 15