Question

is 58 a term of the sequence 4, 10, 16​

Answer 1

Answer:

Given: tanθ=1

tanθ=tan45  

∘

 

θ=45  

∘

 

secθ+cosecθ

sinθ+cosθ

​  

 

=  

sec45+cosec45

sin45+cos45

​  

 

=  

2

​  

+  

2

​  

 

2

​  

 

1

​  

+  

2

​  

 

1

​  

 

​  

 

=  

2  

2

​  

 

2

​  

 

2

​  

 

​  

 

=  

4

2

​  

 

=  

2

1

​

Step-by-step explanation:

Answer 2

Answer:

Yes, 10th term is 58

Step-by-step explanation:

Here,

4,10,16,22,...is an Arithmetic Sequence.

The , nth term of Arithmetic Sequence is :

an=a1+(n−1)d ,

where,a1= first term and d= common difference

We have,

a1=4and d= 10−4 = 16−10=...= 6

So,

an=4+(n−1)⋅6

an=4+6n−6

an=6n−2

Hence,

nth term=an=6n−2

58=6n-2

60=6n

10=n

So, the 10th term of the sequence 4,10,16 is 58