Answer:
Step-by-step explanation:
In this sequence, the first two terms are p and q. The third term is the sum of the first two: r = p + q.
We can rearrange this equation to solve for q: q = r - p.
Substituting the given values, we have q = 57 - 23 = 34.
Now we can solve for p: p = r - q = 57 - 34 = 23.
Therefore, the values of p, q and r are p = 23, q = 34 and r = 57.
Answer:
p = 11
q = 34
r = 91
Step-by-step explanation:
If each term (after the first two terms) is the sum of the previous two terms:
[tex]\implies p+23=q[/tex]
[tex]\implies 23+q=57[/tex]
[tex]\implies q+57=r[/tex]
Solve the second equation for q:
[tex]\implies 23+q=57[/tex]
[tex]\implies 23+q-23=57-23[/tex]
[tex]\implies q=34[/tex]
Substitute the found value of q into the first equation and solve for p:
[tex]\implies p+23=34[/tex]
[tex]\implies p+23-23=34-23[/tex]
[tex]\implies p=11[/tex]
Substitute the found value of q into the third equation and solve for r:
[tex]\implies 34+57=r[/tex]
[tex]\implies r=91[/tex]
Therefore:
