The 3rd term of an arithmetic sequence is 13 and 6th term is 25 What is the commom differents? Find first term
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HEY MATE
THE THIRD TERM IS 13
WE CAN WRITE THE THIRD TERM AS a+2d
THEN, a+2d=13
and, THE SIXTH TERM IS 25
WE CAN WRITE IT THE SIXTH TERM AS a+5d
NOW a+5d=25 - (ii)
NOW THIRD TERM , a+2d=13
a=13-2d -(iii)
PUT THE VALUE OF (iii) in (ii) we get
- 13-2d+5d=25
- 13+3d=25
- 3d=25-13
- 3d=12
- d=4
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