17. Find the middle term of the AP 6, 13, 20, ..., 216.
Answers
Step-by-step explanation:
So that's how u find it plss mark me brainliest
Answer:
first, we have to find the number of terms
From AP : 6, 13, 20, . . . , 216
first term = 6 and last term = 216
Common difference = 7
From the formula tn = a + ( n -1 )d ,
= > 216 = 6 + 7( n - 1 )
= > 210 = 7n - 7
= > 217 = 7n
= > n = 31
So, there are total 31 terms. The middle term of the following series is 16.
Again from the formula tn = a + ( n -1 )d, we could find the value
= 6 + 7( 16 - 1 )
= 6 + 105
= 111
Hence, the middle term of the AP series 6, 13, 20, . . . , 216 is 16 and the value of the 16th term is 111. (Answer.)