5 | 9 | 26 | 90 | ||
13 | (a) | (b) | (c) | (d) | (e) |
Which of the following numbers will come in place of (e)? |
The given series is in the below pattern ,
First series :-
First term = 5
Second term = First term × 1 + 4
? Second term = 5 × 1 + 4 = 9
Third term = Second term × 2 + 8
? Third term = 9 × 2 + 8 = 26
similarly , we can find the all others terms .
......... and so on .
Second series :-
First term = 13
Second term = First term × 1 + 4
? Second term = 13 × 1 + 4 = 17
Third term = Second term × 2 + 8
? Third term = 17 × 2 + 8 = 42
Fourth term = Third term × 3 + 12
? Fourth term = 42 × 3 + 12 = 138
Fifth term = Fourth term × 4 + 16
? Fifth term = 138 × 4 + 16 = 568
Sixth term = Fifth term × 5 + 20
? Sixth term = 568 × 5 + 20 = 2860
Hence , the place value of ( e ) is 2860 .
Binary system is what the representation uses only two digits 0 & 1.
It uses only the powers of 2.
The nine pieces consist of 8 smaller equal pieces and one half cake piece.
Weight of each small piece = 15 g.
So, total weight of the cake = [2 x (15 x 8)]g = 240 g.
Frequency is what means how many times the event occurs in the same period.
Arithmatic mean = sum/members
=> (1x1 + 2x2 + 3x3 + 4x4 + 5x5 + 6x6 + 7x7) / (1 + 2 + 3 + 4 + 5 + 6 + 7)
=> 140/28 = 5
Let x be number of houses and y be colors.
on the basis of question
x = 4y+1
x = 5(y-1)
on solving these 2 equations x = 25
We know that in A.P series
18th term = a + 17d
29th term = a + 28d
But given
a + 17d = 29..........(i)
a + 28d = 18......... (ii)
Solving equation (i) and (ii), we get
d = -1
put d = -1 in any of the above equations and we get,
a = 46
Now, we know 49th term can be written as, a + 48d
putting the value of a and d in the above equation,
a + 48d = 46 + 48(-1)
= 46 - 48
= -2
Hence, the 49th term is -2.
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