Question

Find sum of all numbers which gives reminder 2 when divided by 9 lies between 300 and 900​

Answer 1

Answer:

Hope this answer help you

Answer 2

QuestioN :

Find sum of all numbers which gives reminder 2 when divided by 9 lies between 300 and 900.

GiveN :

• reminder 2 when divided by 9 lies between 300 and 900​

To FiNd :

• sum of all multiples of 9 lying between 300 and 700

ANswer :

The sum of all multiples of 9 lying between 300 and 700 is 21,978.

SolutioN :

Firstly, find which number lies on sum of all multiples of 9 lying between 300 and 700.

Number which are multiples of 9 lying between 300 and 700 Given Below in the form of Arithmetic Sequence or Progression.

306, 315, 324, 333, ..., 693.

here,

a = 306, d = (315 - 306) = 9 and l = 693.

Let the number of terms be n.

Then Tn = 693

⇒ a + (n - 1)d = 693

= 306 + (n - 1​) 9 = 693

= 9n = 396

= n = 44

∴ Required sum = n /2(a+l)

                 ‎‎‎‎‎‎‎‎‎= 44/2(306+693)

=22(306+693)

=22(999)

=21978

∴Hence, sum of all multiples of 9 lying between 300 and 700 = 21,978.

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