Question

In an ap first term is 12 and the d is 6 if kast term is 253 ,find. Its middle term

Answer 1

Answer:

The middle term of the sequence is 132.

Step-by-step explanation:

In an A.P., first term = a = 12, common difference = d = 6 and last term = tn = 253

∵ tn = a + (n-1) d

∴ 253 = 12 + (n-1) 6

253 = 12 + 6n - 6

253 = 6 + 6n

253 - 6 = 6n

247 = 6n

247 / 6 = n

n = 41

Total number of terms is 41.

Hence, the middle term of the sequence will be 21st term i.e. t21

∴ t21 = a + (n-1) d

t21 = 12 + (21-1) 6

t21 = 12 + (20)6

t21 = 12 + 120

t21 = 132

Answer 2

Answer:

The last term of this AP cannot be 253