00:01
This first question, the sequence is given as 4 .4 comma 5 .2 comma 6 .0 comma, these are to be filled by us.
00:11
Now here a1 is given as 4 .4 and also a2 is equals to 5 .2.
00:19
But in arithmetic progression, we know that a2 is equals to a1 plus d where d is the comma difference.
00:26
Now we'll substitute a1 here, that is 5 .2 is equal to 4 .4 plus d.
00:34
From this, d is equals to 0 .8.
00:37
Now using this 0 is d, we'll find out the all other sequences.
00:42
Therefore, the sequences is 4 .4, 5 .2, 6 .0, 6 .8, 7 .6 .4 .7 .6 .4 .8.
00:52
7 .6 .8 .8.
00:53
So these are the three numbers.
00:56
That are to be coming in this sequence after 6 .0, where the common difference is 0 .8 here.
01:04
The second question, sequence is given as minus 34 .35 comma, this is a blank, comma, minus 22 .65, comma, that is three blanks.
01:18
Now we are asked to fill this three blanks.
01:21
Here, we are given with a1 is equal to minus 34 .35.
01:27
A 3 is given minus 22 .65.
01:30
Now we have a formula that is a n is equal to a plus n minus 1 into d where a will be the first term of the sequence.
01:41
N is the number of that particular term and d is the common difference.
01:46
Now a3 can be written as a1 plus 2d where d is common difference.
01:52
Substitute a1 here and you'll get the d...