24. Find the middle term(s) of the sequence 7, 13, 19.,... 241.

1.	24. Find the middle term(s) of the sequence 7, 13, 19.,... 241.
Answer» Given : An= 241a=7d = a2-a1 = 13-7= 6 An = a+(n-1)d 241= 7+(n-1)6241-7 = (n-1)6234/6 = n-139 = n-139+1 = 40 = n here n = number of terms An = last term a= first termd = difference with the 2 terms Total number of terms = 40Middle term = 40/2 = 20th An= 7 + (20-1)6 = 7 + (19)6 = 7 + 114 = 121 thus 121 is the middle term.

Answer»

Given : An= 241a=7d = a2-a1 = 13-7= 6

An = a+(n-1)d 241= 7+(n-1)6241-7 = (n-1)6234/6 = n-139 = n-139+1 = 40 = n

here n = number of terms An = last term a= first termd = difference with the 2 terms Total number of terms = 40Middle term = 40/2 = 20th

An= 7 + (20-1)6 = 7 + (19)6 = 7 + 114 = 121

thus 121 is the middle term.

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