Tip:A–D to answerE for explanationV for videoS to reveal answer
If 6th and 11th terms of an H.P. are 1/11 and 1/19, find the 1st term.
- A.
1
- B.
1/2
- C.
1/3
(Correct Answer) - D.
1/4
Explanation
Solution:
The corresponding A.P. has a6=11 and a11=19.
a+5d=11 and a+10d=19.
Subtracting gives 5d=8⇒d=1.6.
a+5(1.6)=11⇒a+8=11⇒a=3.
The 1st term of H.P. is 1/a=1/3.
Correct Option: (c)
Explanation
Solution:
The corresponding A.P. has a6=11 and a11=19.
a+5d=11 and a+10d=19.
Subtracting gives 5d=8⇒d=1.6.
a+5(1.6)=11⇒a+8=11⇒a=3.
The 1st term of H.P. is 1/a=1/3.
Correct Option: (c)
