CameraIcon

SearchIcon

MyQuestionIcon

1

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

Formula for Sum of n Terms of an AP

If a 1, a 2, ...

Question

If $a_{1}, a_{2}, a_{3}, a_{4}$ are terms of an AP, then the relation between them is

A

a1+a2=a2+a3

No worries! We‘ve got your back. Try BYJU‘S free classes today!

B

a1+a2=a3+a4

No worries! We‘ve got your back. Try BYJU‘S free classes today!

C

a1+a3=a2+a4

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The sum of the first term and the last term is equal to the sum of the second term and the second last term and so on.
Hence, $a_{1} + a_{4} = a_{2} + a_{3}$

Suggest Corrections

thumbs-up

1

Similar questions

If $a_{1}, a_{2}, a_{3}, a_{4}$ are the coefficients of any four

consecutive terms in the expansion of ( $1 + x)^{n}$ , then

$\frac{a_{1}}{a_{1} + a_{2}}$ + $\frac{a_{3}}{a_{3} + a_{4}}$ =

a_{1}, a_{2}, a_{3}, a_{4}, a_{5} > 0

\frac{a_{1}}{a_{2} + a_{3}} + \frac{a_{2}}{a_{3} + a_{4}} + \frac{a_{3}}{a_{4} + a_{5}} + \frac{a_{4}}{a_{5} + a_{1}} + \frac{a_{5}}{a_{1} + a_{2}} \geq \frac{5}{2}

a_{1}, a_{2}, a_{3}, . . . a_{n}

are in H.P then

\frac{a_{1}}{a_{2} + a_{3} + . . . a_{n}}, \frac{a_{2}}{a_{1} + a_{3} + . . . a_{n}}, \frac{a_{3}}{a_{1} + a_{2} + a_{4} + . . . + a_{n}}, \frac{a_{n}}{a_{1} + a_{2} + . . . + a_{n}}

a_{1}, a_{2}, a_{3}, a_{4}

are in AP, then

\frac{1}{\sqrt{a_{1}} + \sqrt{a_{2}}} + \frac{1}{\sqrt{a_{2}} + \sqrt{a_{3}}} + \frac{1}{\sqrt{a_{3}} + \sqrt{a_{4}}}

a_{1}, a_{2}, a_{3}, . . . . . . a_{n}

are in H.P then

a_{1} a_{2} + a_{2} a_{3} + a_{3} a_{4} . . . . + a_{n - 1} a_{n} =

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Formula for Sum of N Terms of an AP

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Formula for Sum of n Terms of an AP

Standard X Mathematics

Join BYJU'S Learning Program

CrossIcon