Answered

Welcome to Westonci.ca, the ultimate question and answer platform. Get expert answers to your questions quickly and accurately. Discover comprehensive answers to your questions from knowledgeable professionals on our user-friendly platform. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform.

complete the series:1,1,2,3,5,8,13,21,34,----,-----​

Sagot :

chibabykalu16

Answer:

10th term is 55

11th term is 89

Step-by-step explanation:

Given:

  • 1,1,2,3,5,8,13,21,34,----,-----

We first need to iterate through and find the patterns in the series:

[tex]n_{x - 1} - n_x = d[/tex]

  • 1 - 1 = 0
  • 2 - 1 = 1
  • 3 - 2 = 1
  • 5 - 3 = 2
  • 8 - 5 = 3
  • 13 - 8 = 5
  • 21 - 13 = 8
  • 34 - 21 = 13

Aha! As we see the differences are the resulting repeating series

So the next two terms are as follows;

[tex]n_{10} = 34 + 21 = 55[/tex]

[tex]n_{11} = 55 + 34 = 89[/tex]

We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Westonci.ca is committed to providing accurate answers. Come back soon for more trustworthy information.