The fifth term from the end of the sequence 2, 6, 18,…, 39366 is
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Step-by-step explanation:
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Step-by-step explanation:
given,
A.P= 2 , 6 , 18 .................,39366
first term ( a1 ) = 2
common difference ( d ) = a2 - a1 = 6 - 2
= 4
last term a(n) = 39366
a (n) = a + ( n-1 ) d
39366 = 2 + ( n- 1 ) × 4
39366 - 2 = 4n - 4
39364 + 4 = 4n
39368 = 4n
n = 39368 / 4
n = 9842
hence, a ( 9842) = 39366
to find the fifth term from the end we have to substract 5 from the end ( n )
a ( n-5) = 9842 - 5
= 9837
therefore, the fifth term from the end of the sequence is *9837*
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