If 6th term of an APis 19 and its 17th term is 41 then its 50th term of AP.
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Step-by-step explanation:
A6 = a + ( n-1)d
19 = a + ( 6 -1) d
19 = a +5d ................... eq.1
A17 = a + ( n-1) d
41 = a ( 17-1) d
41= a+ 16d.............. eq 2.
on solve eq 2.& 1. subtracting
41 = a +16d
19 = a+5d
(-) (-) (-)
22 = 11d
d =2
on putting value of d eq .1
19 = a + 5 ×2
a =9
A50 = a+(n-1) ×d = 9 + ( 50 -1) × 2 = 9 +49 ×2
= 9 +98 = 107
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