Graphs exercise 1: (a) a simple graph of 4 vertices has eigenvalues 3,-1,-1,-1}. how many edges must it have? draw the graph (b) a simple graph has a spectrum of 4 numbers, three of which are given below (the values are rounded). find that graph (i) {-1.5, -, 0.3 (ii) { 3/5

arithmetic sequence

step-by-step explanation:

given that a sequence has terms as

19, 15, 11,

this is represented on a graph

the pattern indicates that the sequence is an arithmetic sequence with i term

a=19 and common difference d =-4

any general term

thus the sequence is reduced by 4 for each successive term starting from 1 and nth term is

24-5n.

first negative term would start after 5th term

5th term =24-25< 0

from 5th term onwards the sequence would be negative.

each side has a different length.  

step-by-step explanation:

2,160 π

step-by-step explanation: