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If seven times of 7th term of an AP is equal to eleven times the 11th term, then what will be its 18th terms?
Most Upvoted Answer
If seven times of 7th term of an AP is equal to eleven times the 11th ...
7th term= a+6d
11th term= a+10d
A.T.Q.
7(a+6d)=11(a+10d)
7a+42d=11a+110d
7a-11a=110d-42d
-4a=68d
a=-68d/4
a=-17d
we have to find its 18th term,
18th term= a+17d
18th term= -17d+17d. -------(a=-17d)
18th term=0
so, the 18th term of given AP will be 0.
Thank you... :-)
11th term= a+10d
A.T.Q.
7(a+6d)=11(a+10d)
7a+42d=11a+110d
7a-11a=110d-42d
-4a=68d
a=-68d/4
a=-17d
we have to find its 18th term,
18th term= a+17d
18th term= -17d+17d. -------(a=-17d)
18th term=0
so, the 18th term of given AP will be 0.
Thank you... :-)
Community Answer
If seven times of 7th term of an AP is equal to eleven times the 11th ...
7th term = (a+6d) 11th term = (a+10d)
(a+6d)7 since 7th term of the ap is 7 times and the same for 11th term
(a+6d)7=(A+10d)11 (given)
7a + 42d =11a +110d (on solving)
7a - 11a = 110d - 42d
-4a = -68d
a= -17d
we know 18th term = (a+17d)................................. (i)
now we substitute the value of a in (i)
which emplies,
-17d + 17d
= 0
hence proved
(a+6d)7 since 7th term of the ap is 7 times and the same for 11th term
(a+6d)7=(A+10d)11 (given)
7a + 42d =11a +110d (on solving)
7a - 11a = 110d - 42d
-4a = -68d
a= -17d
we know 18th term = (a+17d)................................. (i)
now we substitute the value of a in (i)
which emplies,
-17d + 17d
= 0
hence proved
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If seven times of 7th term of an AP is equal to eleven times the 11th term, then what will be its 18th terms?
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If seven times of 7th term of an AP is equal to eleven times the 11th term, then what will be its 18th terms? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about If seven times of 7th term of an AP is equal to eleven times the 11th term, then what will be its 18th terms? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If seven times of 7th term of an AP is equal to eleven times the 11th term, then what will be its 18th terms?.
If seven times of 7th term of an AP is equal to eleven times the 11th term, then what will be its 18th terms? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about If seven times of 7th term of an AP is equal to eleven times the 11th term, then what will be its 18th terms? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If seven times of 7th term of an AP is equal to eleven times the 11th term, then what will be its 18th terms?.
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