11, 16, 21, ... Find the 44th term. PLZ HELP
2 answers:
Answer:
a₄₄ = 226
Step-by-step explanation:
There is a common difference d between consecutive terms, that is
d = 16 - 11 = 21 - 16 = 5
This indicates the sequence is arithmetic with n th term
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 11 and d = 5 , then
a₄₄ = 11 + (43 × 5) = 11 + 215 = 226
You might be interested in
Answer:
see explanation
Step-by-step explanation:
Using the sum/ difference → product formula
cos x - cos y = - 2sin( )sin (
)
sin x - sin y = 2cos ( )sin (
)
Given
(cosA - cosB)² + (sinA - sinB )²
= [ - 2sin()sin(
) ]² + [ 2cos(
)sin(
) ]²
= 4sin² ( )sin² (
) + 4cos² (
)sin² (
)
= 4sin² ( )[ sin² (
) + cos² (
) ← sin²x + cos²x = 1
= 4sin² ( ) × 1
= 4sin² ( ) = right side ⇒ proven