MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Insertion of AP's between 2 Numbers

7, 10, 15, ,3...

Question

7, 10, 15, ,31., 42, 55, _, 87

Open in App

Solution

Loot carefully at above sequence Take the 1st difference of each consecutive term
7, 10, 15, , 31, 42, 55, _, 87
3, 5, _, _, 11, 13, _, _
Does this first difference sequence now look familiar ? this is an arithmetic progression just as we saw in the first question
3, 5, 7, 9, 11, 13, 15, 17
In this case the difference are in arithmetic progression
Therefore the series is 7,10,15,22,32,42,55,70,87.

Suggest Corrections

thumbs-up

0

Similar questions

Q. The following are the marks (out of 100) of 60 students in mathematics.
16, 13, 5, 80, 86, 7, 51, 48, 24, 56, 70, 19, 61, 17, 16, 36, 34, 42, 34, 35, 72, 55, 75, 31, 52, 28, 72, 97, 74, 45, 62, 68, 86, 35, 85, 36, 81, 75, 55, 26, 95, 31, 7, 78, 92, 62, 52, 56, 15, 63, 25, 36, 54, 44, 47, 27, 72, 17, 4, 30. Construct a grouped frequency distribution table with width 10 of each class, in such a way that one of the classes is

10 - 20

(20 not included).

Q. Mark (✓) against the correct answer
If A : B = 5 : 7 and B : C = 6 : 11, then A : B : C = ?

(a) 30 : 42 : 55
(b) 30 : 42 : 77
(c) 35 : 49 : 66
(d) none of these

Q. The following table gives the number of children of

150

families in a village.

No. of children ( $x$ )	$0$	$1$	$2$	$3$	$4$	$5$
No. of families ( $f$ )	$10$	$21$	$55$	$42$	$15$	$7$

Find the average number of children per family.

Q. The following is the distribution of the size of certain farms from a taluka (tehasil). Find median size of farms.

Size of Farms(in acres)	Number of Farms
$5 - 15$	$7$
$15 - 25$	$12$
$25 - 35$	$17$
$35 - 45$	$25$
$45 - 55$	$31$
$55 - 65$	$5$
$65 - 75$	$3$

Q. Mark the correct alternative in the following question:

If a : b = 5 : 7 and b : c = 6 : 11, then a : b : c =

(a) 35 : 49 : 66 (b) 30 : 42 : 77 (c) 30 : 42 :55 (d) None of these

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Arithmetic Progression

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Insertion of AP's between 2 Numbers

Standard XII Mathematics

Join BYJU'S Learning Program

CrossIcon