find the sum of all multiples of 7 lying between 300 and 700
natasha23:
Anyone answer plzzzz!!!!
Answers
Answered by
30
Hii friend,
Multiple of 7 which lying between 300 to 700 are 301,308, 315,..........,700.
Here,
A = 301
D = 7
Tn = 700
a+(n-1) × d = 700
301 + (n-1) × 7 = 700
301 + 7n - 7 = 700
7n = 700-294
7n = 406
n = 406/7
n = 58
Therefore,
Sn = n/2 × [ 2a + (n-1) × d]
Sn = 58/2 × [ 2 × 301 + (58-1) × 7 ]
= 29 × 602 + 399
= 17458 + 399 = 17857 .
Hence,
The sum of the number which is divisible by 7 between 300 and 700 is 17857 .
HOPE IT WILL HELP YOU.... :-)
Multiple of 7 which lying between 300 to 700 are 301,308, 315,..........,700.
Here,
A = 301
D = 7
Tn = 700
a+(n-1) × d = 700
301 + (n-1) × 7 = 700
301 + 7n - 7 = 700
7n = 700-294
7n = 406
n = 406/7
n = 58
Therefore,
Sn = n/2 × [ 2a + (n-1) × d]
Sn = 58/2 × [ 2 × 301 + (58-1) × 7 ]
= 29 × 602 + 399
= 17458 + 399 = 17857 .
Hence,
The sum of the number which is divisible by 7 between 300 and 700 is 17857 .
HOPE IT WILL HELP YOU.... :-)
Answered by
3
Answer:
17857
Step-by-step explanation:
see attachment
first step in second pic
PLZZ.. mark it as brainliest
:) hope this helps you mate (:
Attachments:
Similar questions