The first term will be 3 and the sum of the first 9 terms will be 81.
<h3>What is Arithmetic progression?</h3>
The difference between every two successive terms in a sequence is the same this is known as an arithmetic progression (AP).
The arithmetic progression has wider use in mathematics for example sum of natural numbers.
Natural number = 1,2,3,4,5,6,7,8...
Given,
Six terms as 10.5
So,
a₆ = 10.5
Common difference(d) = 1.5
The nth term of an AP is given by
= a + (n-1)d
So,
a₆ = a + (6-1)d
10.5 = a + 5(1.5)
a = 3
Now,
The Sum of n terms is given by
S = n/2[2a + (n-1)d]
S = 9/2[6 + 8(1.5)]
S = 81
Hence the first term will be 3 and the sum of 9 terms will be 81.
For more about Arithmetic progression
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<em>Answer:</em>
<em>Answer:3.33 </em>
<em>Answer:3.33 Step-by-step explanation:</em>
<em>The</em><em> </em><em>answer</em><em> </em><em>is</em><em> </em><em>3.33</em>
<em>2</em><em>/</em><em>3</em><em> × </em><em>5</em><em> = 3.33</em>
The independent variable (x) is the domain
<span>The pattern for 12,24,72,288 is 12,24,72,288,1440,8640,60480 and so on.The explanation for this pattern is first 12 is multiplied by 2 which gives 24.Then 24 is multiplied by 3 which gives 72,72 multiplied by 4 which gives 288,288 multiplied by 5 which gives 1440 and it continued by multiplying the next number in the pattern.Eg by multiplying 2,3,4,5,6,7,8,9 etc...</span>
Step-by-step explanation:
The equation has 100, which represents the cost of the printer, then you add to .05p which stands for each page is .05 and you multiply it by p which would be the amount of pages, so when you do .05p it stands for the equation to to calculate the total cost of pages. Then .25p is the cost times the amount of pages.
Hope this helps, you understand it more.
