Find the digit that makes 3 43 divisible by 9?

Digit 8 makes 3_43 divisible by 9

Step-by-step explanation:

We have to find a number that will make 3_43 divisible by 9.

In order for a number to be divisible by 9, the sum of digits of a number should add up to 9 or any multiple of 9.

The given digits add up to

3+4+3 = 10

We can add 8 which will make the sum of digits 18 (a multiple of 9)

The number we will get is 3843 which is divisible by 9 and gives 427 as quotient.

So, digit 8 makes 3_43 divisible by 9 ..

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for

d

step-by-step explanation:

i used the pitagoras theoreme