Question

find the middle term of an A.P. 1,8, 15,22,...505

Answer 1

a =1

d = 8-1 = 7

Tn = 505.

Tn = a + ( n-1)d

505 = 1 + ( n - 1 ) 7

505 - 1 =( n- 1 )7

504/7 = n-1

72 + 1 = n

73 = n.

Middle term = 1/2 ( 73 + 1) = 74/2 = 37.

Now,
T37 = 1 + (37 - 1 ) 7

= 1 + 259 - 7

= 253.


Hence, middle term = 253.


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Answer 2

Answer:

Middle term = 1/2 ( 73 + 1) = 74/2 = 37. = 253. Hence, middle term = 253