CameraIcon

SearchIcon

MyQuestionIcon

1

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

Properties of AP

If a1, a2, ...

Question

If $a_{1}, a_{2}, a_{3}, . . . . . . . ., a_{25}$ are in A.P and $a_{3} + a_{5} + a_{12} + a_{14} + a_{21} + a_{23} = 60$ , then $a_{2} + a_{7} + a_{19} + a_{24} =$

A

30

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

B

40

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

C

120

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

D

180

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

Open in App

Solution

The correct option is B $40$
$a_{1}, a_{2}, a_{3}, . . . . . . a_{25}$ are in AP.

$a_{3}, a_{5}, a_{12} + a_{14} + a_{21} + a_{23} = 60$

$\Rightarrow a + 2 d + a + 4 d + a + 11 d + a + 13 d + a + 20 d + a + 22 d = 60$

$\Rightarrow 6 a + 72 d = 60$

$\Rightarrow a + 12 d = 10$

Consider $a_{2} + a_{7} + a_{19} + a_{24} = a + d + a + 6 d + a + 18 d + a + 23 d$

$= 4 a + 48 d$

$= 4 (a + 12 d)$

$= 4 (10) = 40$ .

Suggest Corrections

thumbs-up

0

Similar questions

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

,.... are in A.P. such that

a_{1} + a_{5} + a_{10} + a_{15} + a_{20} + a_{24} =

a_{1} + a_{2} + a_{3} + . . . + a_{23} + a_{24} =

If $a_{1}, a_{2}, a_{3} . . . . .$ are in $A . P .$ such that $a_{1} + a_{5} + a_{10} + a_{15} + a_{20} + a_{24} = 225$ .

a_{1} + a_{2} + a_{3} . . . . . . . . . + a_{23} + a_{24}

a_{1}, a_{2}, a_{3}, . . . . . . . . i s a n A . P . s u c h t h a t a_{1} + a_{5} + a_{10} + a_{15} + a_{20} + a_{24} = 225

a_{1} + a_{2} + a_{3} + . . . . . . . + a_{23} + a_{24} i s e q u a l t o

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

A . P .

a_{1} + a_{5} + a_{10} + a_{15} + a_{20} + a_{24} = 225

a_{1} + a_{2} + a_{3} + . . . + a_{23} + a_{24}

If $a_{1}$ , $a_{2}$ , $a_{3}$ , .... is an A.P. such that $a_{1}$ + $a_{5}$ + $a_{10}$ + $a_{15}$ + $a_{20}$ + $a_{24}$ = 225 then $a_{1}$ + $a_{2}$ + $a_{3}$ + ... + $a_{23}$ + $a_{24}$ is equal to

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Properties of AP

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Properties of AP

Standard X Mathematics

Join BYJU'S Learning Program

CrossIcon