Veto q&a 7 Month22 (1)

Q & A
@hangout
total 2018
April
PluS
“PRogReSSing tHe PRogReSSion”
Syam ayyampara
Q
Find the common difference of the progression
12, 16, 20
Common difference (d) = 16 - 12 or 20 - 16 = 4
Q Find x, of the 3 consecutive terms of the
progression 24, x, 42
24 + 42 66
= = 33
2 2
Q Find x, of the progression -10, x, 10
− 10 + 10 0
x = = = 0
2 2
Q Find the 8 th term of the progression 13, 16, 19, ....
First term = a
Number of terms = n
Common difference = d
n th term = a + (n-1) d
8 th term = 13+(8 - 1)3
= 13 + 21 = 34
Q Find the 18 th term of the progression -8, -5, -2, 1 .....
a= -8
d = (-5)- (-8) = -5 + 8 = 3
18 th term = a + (n-1) d
= -8 + 17 x 3
= -8 + 51
= 43
Q First term of a progression is 25, last term is -25
and common difference is -5. Find the number of
terms
Number of terms = Last term - First term
+ 1
Common difference
Q
Q
Q
−50 = + 1
−5
= 10 + 1=
11
First term and last term of a progression is 36 and
672 respectively. The common difference is 6.
Find the number of terms
tn
− t1 Number of terms = + 1
d
672 − 36
= + 1
6
636
= + 1
6
= 106 + 1=
107
The numbers given to the houses of a city are
in consecutive even numbers starting from 46
and ends at 150. How many houses are there in
the city
First term (t 1
) = 46
Last term (t n
)= 150
d = 2 (even number)
tn
− t1 Number of houses = + 1
d
150 − 46
= + 1
2
104
= + 1
2
= 52 + 1=
53
How many numbers between 1 and 100 can be
divisible by 7
AP → 7, 14, ..... 91, 98
tn
− t1 Number of terms = + 1
d
tn
− t
98 − 7
1
Number of terms = + 1
= + 1
d
7
−25 −25 91
= + 1
= + 1 = 13 + 1 = 14
−5
7
Q&A Bonus
in 1889 mirza ghulam ahmed founded the movement 37
- ahmadiya movement