d = 3 , a₁₂ = 40 and S
= 7775
In an arithmetic sequence the nth term and sum to n terms are
<h3>• a
= a₁ + (n-1)d</h3><h3>• S
=
[2a + (n-1)d]</h3><h3>
where d is the common difference</h3><h3>a₆ = a₁ + 5d = 22 ⇒ 7 + 5d = 22 ⇒ 5d = 15 ⇔ d = 3</h3><h3>a₁₂ = 7 + 11d = 7 +( 11× 3) = 7 + 33 = 40</h3><h3>S₁₀₀ =
[(2×7) +(99×3)</h3><h3> = 25(14 + 297) = 25(311)= 7775</h3>
Step-by-step explanation:
45% of number = 180
=> 100% of number = 180 * (100/45) = 400.
Hence the number is 400.
The sum of measures of angles A and B is 90°
Hence the angles are complementary
- As complementary angles have sum 90°
First:
F=m.a
=4*7
=28N
Second:
F=m.a
28=m.2. (force is constant,so F=28N)
28/2=m
m=14kg.
It lies between -3 and -4.
An integer is any whole number, positive or negative.
