Question

find the values 5+55+555+.. to10th terms​

Answer 1

Hello mate

Answer

Sum = 5 + 55 + 555 + …. n terms.

Sum = 5 + 55 + 555 + …. n terms.= 5/9[9 + 99 + 999 + …. n terms]

Sum = 5 + 55 + 555 + …. n terms.= 5/9[9 + 99 + 999 + …. n terms]= 5/9[(10 – 1) + (100 – 1) + (1000 – 1) + … n terms]

Sum = 5 + 55 + 555 + …. n terms.= 5/9[9 + 99 + 999 + …. n terms]= 5/9[(10 – 1) + (100 – 1) + (1000 – 1) + … n terms]= 5/9[10 + 100 + 1000 ….. – (1 + 1 + … 1)]

Sum = 5 + 55 + 555 + …. n terms.= 5/9[9 + 99 + 999 + …. n terms]= 5/9[(10 – 1) + (100 – 1) + (1000 – 1) + … n terms]= 5/9[10 + 100 + 1000 ….. – (1 + 1 + … 1)]= 5/9[10(10n – 1)/(10 – 1) + (1 + 1 + … n times))

Sum = 5 + 55 + 555 + …. n terms.= 5/9[9 + 99 + 999 + …. n terms]= 5/9[(10 – 1) + (100 – 1) + (1000 – 1) + … n terms]= 5/9[10 + 100 + 1000 ….. – (1 + 1 + … 1)]= 5/9[10(10n – 1)/(10 – 1) + (1 + 1 + … n times))= 50/81(10n – 1) – 5n/9

Hope it helps you