Question

The middle term of the progression 4,9,14.....104 is

Answer 1

Answer: the middle most term of the series is the 11th term = 54

Step-by-step explanation:

The AP is 4, 9, 14,....., 104

a(first term)= 4, d(common difference)= 9-4= 5, l(final term)= 104

n(total number of terms= ?

using the formula: l= a + (n-1)*d we can find the total number of terms in the AP

Substitute the values in the formula

We get n= 21

Middlemost term of the series is= [(21 + 1) / 2]th term= 11th term

Using the formula l = a + (n-1)*d, we find the 11th term

11th term = a + (11-1)*d = 4 + 10*5 = 4 + 50 = 54

Answer 2

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