Question

in an A.P 4th term and 8th term are in ratio 1:2 if the 10th term is 30 find the A.P



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Answer 1

Hey mate

QUESTION = in an A.P 4th term and 8th term are in ratio 1:2 if the 10th term is 30 find the A.P

☑️☑️ BRAINLY SOLUTION ☑️☑️

Answer:

3

.

Explanation:

4th and 8th term of an AP is in ratio 1:2.

That is,

a

4

:

a

8

=

1

:

2

So,

⇒

a

+

3

d

a

+

7

d

=

1

2

⇒

2

(

a

+

3

d

)

=

(

a

+

7

d

)

⇒

2

a

+

6

d

=

a

+

7

d

⇒

a

=

d

The tenth term is 30

That is,

a

10

=

30

⇒

a

+

9

d

=

30

⇒

a

+

9

a

=

30

[since

a

=

d

]

⇒

10

a

=

30

⇒

a

=

3

Therefore,

since

a

=

d

,

common difference

=

3

HOPE IT HELPS YOU

PLZ MARK AS BRAINLIST

Answer 2

Follow me& Mark BRAINLIST $\huge\mathfrak\red{ANSWER\:}$ ↔↔↔↔↔↔

⤵⤵

a4:a8=1:2

=>(a+3d)/(a+7d)=1/2

solving we will get

a=d

NOW↪↪

a10=30

=>a+9d=30

=>a= 3

AP

3, 6, 9, ....

☺☺

TNXX