In the following $APs,$ find the missing terms in the boxes: $-4, \square, \square, \square, \square, 6$

Vedclass pdf generator app on play store
Vedclass iOS app on app store
(N/A) For this $A.P.,$ the first term $a = -4$ and the sixth term $a_{6} = 6$.
We know the formula for the $n^{th}$ term of an $A.P.$ is $a_{n} = a + (n - 1)d$.
Substituting the values for the sixth term:
$a_{6} = a + (6 - 1)d$
$6 = -4 + 5d$
$10 = 5d$
$d = 2$
Now,we find the missing terms:
$a_{2} = a + d = -4 + 2 = -2$
$a_{3} = a + 2d = -4 + 2(2) = 0$
$a_{4} = a + 3d = -4 + 3(2) = 2$
$a_{5} = a + 4d = -4 + 4(2) = 4$
Therefore,the missing terms are $-2, 0, 2,$ and $4$ respectively.

Explore More

Similar Questions

Find the $10^{th}$ term of the $AP : 2, 7, 12, \ldots$

$A$ manufacturer of $TV$ sets produced $600$ sets in the third year and $700$ sets in the seventh year. Assuming that the production increases uniformly by a fixed number every year,find the production in the $10^{th}$ year.

In which of the following situations,does the list of numbers involved make an arithmetic progression,and why? The amount of air present in a cylinder when a vacuum pump removes $\frac{1}{4}$ of the air remaining in the cylinder at a time.

Difficult
View Solution

$0, -4, -8, -12, \ldots$ are $APs$? If they form an $AP$,find the common difference $d$ and write three more terms.

Which term of the $AP: 21, 18, 15, \ldots$ is $-81$? Also,is any term $0$? Give reason for your answer.

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial
For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free
For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo