Sigma Notation - Page 6

Questions
  • How do you find the sum of the finite geometric sequence of #Sigma (5/2)^(n-1)# from n=1 to 10?
  • How do you find a formula for the sum n terms #sum_(i=1)^n (1+i/n)(2/n)# and then find the limit as #n->oo#?
  • How do you use the properties of summation to evaluate the sum of #Sigma i(i^2+1)# from i=1 to 10?
  • How do you find the sum of #Sigma i^2# where i is [0,4]?
  • How do you find the sum of the infinite geometric series #Sigma 2(2/3)^n# from n=0 to #oo#?
  • How do you find the sum of the infinite geometric series #Sigma (1/2)^n# from n=0 to #oo#?
  • How do you use the properties of summation to evaluate the sum of #Sigma (i^2-1)# from i=1 to 10?
  • Find the definite integral #int_0^1dx/(2x-3)#?
  • How do you find the sum of the finite geometric sequence of #Sigma 10(1/5)^n# from n=0 to 20?
  • How do you find the partial sum of #Sigma (1000-5n)# from n=0 to 50?
  • How do you find the sum of #Sigma [(i-1)^2+(i+1)^3]# where i is [1,4]?
  • How do you find the fourth partial sum of #Sigma 8(-1/4)^n# from n=1 to #oo#?
  • How do you find the sum of the finite geometric sequence of #sum_(j=1)^12 16(1/2)^(j-1)#?
  • How do you use the properties of summation to evaluate the sum of #Sigma i(i-1)^2# from i=1 to 15?
  • How do you use the properties of summation to evaluate the sum of #Sigma (i^3-2i)# from i=1 to 15?
  • How do you express the sum #5-10+20-40+80-.....# in sigma notation?
  • Integral of [x+3/√9-x²] dx?
  • What is the integral of ..........?
  • How do I integrate #intdx/(sqrt(x)(sqrt(x)+1))#?
  • How do you integrate #\int \frac { 8\ln 6x \sin ^ { - 1} ( \ln 6x ) } { x } d x#?