Answer:
<u>The sequence is</u>
- 1, 1 + 2, 1 + 2 + 3, 1 + 2 + 3 + 4, ...
Each term is the sum of the consecutive numbers from 1 to that number.
<u>The nth term is the sum of the first n numbers:</u>
- aₙ = 1 + 2 + 3 + ... + n
- aₙ = 1/2n(1 + n) (formula for sum of the n terms of arithmetic progression with the first term of 1 and common difference of 1)
- aₙ = n(n + 1)/2
1) The number of circles in the nth pile is n(n + 1)/2
2) When n tends to infinity the number of circles tends to infinity
Answer:
2
Step-by-step explanation:
-8(17-12)
------------
-2(8-(-2)
= -8(5)
--------
-2(10)
= -40
----------
-20
<h2>Ans 2</h2>
Let the number be n
Part A- 2/3 + n = 2n+3
Part B- n= 2/3 -3
n= 2-9 / 3
n= -7/3 =-2.33
Hello!
Answer:
1. x= 1 / y= 2 / z= -3 / <u>(1 ; 2 ; -3)</u>
2. x= 3 / y= -5 / z= 8 / <u>(3 ; -5 ; 8)</u>
Step-by-step explanation: