Step-by-step explanation:
To find the formula for the nth term ,
First , find the common difference or common ratio.
Common difference =
Common ratio =
The common difference applies to the other given numbers for example :
this proves that it is an arithmetic sequence and the given formula for the nth term of an arithmetic sequence is
T_n =a(n-1)d
Where n = no of terms
a= first term
d= common difference
Answer:
Option (b).
Step-by-step explanation:
It is given that Adrian built a structure out of 10 congruent cubes.
Volume of each cube = 8 cubic centimetres.
We need to find the total volume of the structure.
Total volume = No. of cubes × Volume of each cube
Therefore, the total volume of the structure is 80 cubic centimetres.
Hence, option (b) is correct.
For the given triangle, the value of x equals 30.9892 units.
Step-by-step explanation:
Step 1:
In the triangle, the angle is 40°, the opposite side has a length of 26 units, the adjacent side has a length of x units while the hypotenuse is not given.
To determine the value of x, we determine the value of the tan of the given triangle.
To calculate the tan of angle A we divide the opposite side's length by the the adjacent side's length.
Step 2:
The length of the opposite side = 26 units.
The length of the adjacent side = x units.
So x measures 30.9892 units.