If 7 times the 7th term of an ap


Asked by admin @ in Math viewed by 284 People


if 7 times the 7th term of an AP is equal to 11 times the 11th term, show that the 18th term of it is 0

Answered by admin @



Answer:  a_{18} = 0.


Step-by-step explanation:



 \huge \bf \pink{Hey \: there !! }


▶ Given :-


→ 7 a_7 = 11 a_{11}

 

▶ To prove :-



 a_{18}   = 0 .



 \huge \green{ \underline{ \overline{ \bf Solution :- }}}

We have,


=> 7 a_7 = 11 a_{11}

=> 7( a + 6d ) = 11( a + 10d ) .


=> 7a + 42d = 11a + 110d .


=> 11a - 7a = 42d - 110d .


=> 4a = - 68d .


=> 4a + 68d = 0 .


=> 4( a + 17d ) = 0 .


=> a + 17d = 0/4 .


=> a + ( 18 - 1 )d = 0.


 \huge \boxed{ \boxed{ \blue{ \bf\therefore a_{18} = 0.}}}

✔✔ Hence, it is proved ✅✅.




THANKS




#BeBrainly.


Similar Questions

Find the 10th term of ap 2 7 12

Asked by admin @ in Math viewed by 277 persons

Find The 10th Term Of The AP : 2 , 7 , 12 , ........​

Find the 30th term of ap 10 7 4

Asked by admin @ in Math viewed by 292 persons

Find the 30th term of thr AP 10,7,4.....

If the 8th term of an ap is 31

Asked by admin @ in Math viewed by 313 persons

If 8th term of an ap is 31 and 15th term is 16 more than 11th term find ap

If the 10th term of an ap is 21

Asked by admin @ in Math viewed by 336 persons

If the 10th term of an AP is 21 and the sum of its first ten terms is 120,find it's nth term.

If the 12th term of an ap is 13

Asked by admin @ in Math viewed by 334 persons

If 12th term of ap is -13 and sum of first 4 terms is 24 find sum of first 10 terms

If the 10th term of an ap is 52

Asked by admin @ in Math viewed by 289 persons

If the 10th term of an AP is 52 and 17th term is 20 more than its 13th term, find the AP. Plz answer dis fast.....

If the 9th term of an ap is zero

Asked by admin @ in Math viewed by 295 persons

If the 9th term of an ap is zero, prove that its 29th term is twice its 19th term

The 16th term of an ap is 5 times

Asked by admin @ in Math viewed by 362 persons

The 16th term of an ap is 5 times its 3rd term. If its 10th term is 41 then find the sum of its first 15 terms

If 100 times the 100th term of an ap

Asked by admin @ in Math viewed by 269 persons

If 100 times the 100th term of an AP with non zero common difference equals the 50 times its 50th term, then the 150th term of this AP is : …

If 10 times the 10th term of an ap

Asked by admin @ in Math viewed by 300 persons

if 10 times the 10th term of an A.P is equal to 15 times the 15th term, show that 25th term of an A.P is zero

If the first term of an ap is 2

Asked by admin @ in Math viewed by 278 persons

If the first term of an AP is 2 and the sum of the first five terms is equal to one-fourth of the sum of the next five terms, then …

The 17th term of an ap exceeds its 10th

Asked by admin @ in Math viewed by 295 persons

The 17th term of an AP exceeds its 10th term by 7. Find the common difference. NCERT Class X Mathematics - Mathematics Chapter _ARITHMETIC PROGRESSIONS

Which term of an ap 21 18 15 is

Asked by admin @ in Math viewed by 294 persons

Which term of an ap 21 18 15 ........is -18

Which term of the ap 21 18 15 is

Asked by admin @ in Math viewed by 305 persons

Which term of an ap 21 18 15 ........is -18

How many terms of the ap 9 17

Asked by admin @ in Math viewed by 320 persons

How many terms of the AP: 9,17,25,.......... must be taken so that their sum is 636

Most viewed questions in Math


What is the value of x in the expression

Asked by admin @ in Math viewed by 15184 persons


Shubham is facing south and moves 30 km

Asked by admin @ in Math viewed by 12991 persons


Prachi excellence in mathematics class 7 solutions pdf free download

Asked by admin @ in Math viewed by 12060 persons



Oxford new enjoying mathematics class 7 solutions chapter 1

Asked by admin @ in Math viewed by 11536 persons


Survey of various types of bank accounts icse project

Asked by admin @ in Math viewed by 11513 persons


The town of p is located at point x

Asked by admin @ in Math viewed by 11365 persons



A clock gains 4 minutes after every 4 minutes

Asked by admin @ in Math viewed by 10179 persons


Running a tuck shop or canteen maths project pdf

Asked by admin @ in Math viewed by 9402 persons


Paul is sixteenth from the front of the row

Asked by admin @ in Math viewed by 9357 persons



The average weight of 20 teachers is 80 kg

Asked by admin @ in Math viewed by 7530 persons


The number 567 xy is completely divisible by 30

Asked by admin @ in Math viewed by 7408 persons


In a row of friends tiya occupies fifteenth place

Asked by admin @ in Math viewed by 7211 persons



What would $ mean if fat is coded as

Asked by admin @ in Math viewed by 5283 persons


Consider a 3 digit integer x with distinct digits

Asked by admin @ in Math viewed by 4810 persons


Rahul went to his mother's mother in law

Asked by admin @ in Math viewed by 4185 persons