Question

sum of the 55 terms is an A.P is 3300 find the 28th term​

Answer 1

Answer:

60

Step-by-step explanation:

Number of terms

$sn = \frac{n}{2}(2a+(n-1)d)$

$s 55= \frac{55}{2}( 2a + (55-1)d)\\3300 = \frac{55}{2}X2(a+27d)\\\frac{3300}{55}= a+27d\\a + 27d = 60$---(i)

The tn th term is given by $a+(n-1)d$

The 28th term is given by $a+(28-1)d = a+27d$---(ii)

Therefore, comparing i and ii,

The 28th term is 60.