NOTES BLOG NEPAL

# Short Answer Questions Find the 5th term of the sequence 3,-6, 12,-24, … Find the 7th term of the series 3,6,12,24,……. Find the arithmetic mean and geometric mean between the two numbers 6 and 54. If the first term of a geometric series is 4 and the sum of first two term is 36, find the common ratio. How many terms are there in the series   ? In a GP, the first term is 7 and the last term is 448 and sum 889, find the common ratio. Find the 8th term of the series 5,-10,-15, 20 … If the 2nd and 4th term of a GP are -10 and 20 respectively then find first term, common ratio and 12th term. If 2nd term and 5th term of a GP are 4 and 32 respectively. Find 8th term In a GP if the common ratio is 2 and the 8th term is 384, find the first term Which term of the series   is  ? Find the sum of the following series:   +1+4+…… 7 terms  8 terms  10terms 8-12+18-……..  How many terms of the series 32+48+72+….. will add up to 665 ? Evaluate the following In...

# Rules to find General term To find general terms we use following rules: 1)     If the series/sequence is AS then tn= a + (n-1) d 2)     If the series/sequence is GS then tn = arn-1 3)     If the series/sequence is not both AS and GS we find a pattern. 4)    If we cannot use all these methods mentioned above then tn = an2 + bn2 + c. # Illustrative Examples Find the sum of first 5 natural numbers. Solution: Here n =5 So,  Find the sum of first 10 even numbers. Solution: Here n = 10 So, What is the sum of first 7 odd numbers? Solution: Here n = 7 So, Calculate the sum of square of first three natural numbers? Solution: Here n = 3 Find the sum of cubes of first 5 natural numbers. Solution: Here, n = 5 So,  =  = 152 = 225 # Important Questions for SLC Examination Find the sum of the following series 1 + 3 + 5 + ………….. 25 terms 2 + 4 + 6 + ……….. 21 terms 1 + 2 + 3 + …………. 25 terms  2 + 4 + 6 + ……… 30 terms 1 + ...