Question

If the sum of 11 consecutive odd numbers is 253 find the first term

Answer 1

Answer:

13  (First term)

Step-by-step explanation:

S₁₁ = 253

=> (11/2)(a+l) = 253

=> a+l =253(2/11)

=> a+l = 23*2 =46

=> a+l = 46 ----------------  i

=> a + a+(11-1)2 = 46

=> 2a+20=46

=> 2a=46-20

=>a = 26/2 = 13

=> a=13

therefore

by i =>

a+l = 46

13+l=46

l = 46-13 = 33

l=33