Question

Find the number of all positive integers less than 298 which are multiples of 9

Answer 1

Answer:

99 are there all positive integers less than

Answer 2

Answer:

The AP is 9 , 18 , 27 .... 297

Here ,

First term (a) = 9

Common difference (d) = 9

Last term (l) = 297

We know that , the general formula of an AP is given by

Thus ,

➡297 = 9 + (n - 1)9

➡288 = (n - 1)9

➡32 = n - 1

➡n = 33

Now , the sum of first n terms of an AP is given by

Thus ,

⇒S 33

= 233 {2×9+(33−1)9}

⇒S 33

= 233 ×(18+288)

⇒S 33

= 233

×306

⇒S 33

=33×153

⇒S 33

=5049

Step-by-step explanation:

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