00:01
Now, in this problem we are given with two numbers 5, 10 and we need to insert k arithmetic means between these two numbers and k we have to take it to be 2.
00:12
So basically we have to insert two terms, two numbers between these two numbers, the given pairs of numbers.
00:18
So the first term of an ap we have 5, second term we don't know, third term we don't know, fourth term we have 10.
00:28
So we have to find these two terms a2 and a3.
00:31
So we know that the nth term of an ap is given by a1 plus n minus 1 into d.
00:44
So here i can write that a4, this will be equals to a1 plus 4 minus 1 into d.
00:54
So a4 we have 10, a1 we have 5, 4 minus 1 is 3 times d.
01:01
D is the common difference.
01:03
From here this d would be equals to 5 over 3, correct? now we can easily find these two terms, a2 will be equals to a1 plus 2 minus 1 is 1, so 1 times d is d, so d...