Question

The algebraic form of an arithmetic sequence is 5n+2.

a) Fin the common difference of this sequence?

b)Find the 10th term ?​

Answer 1

Answer:

Step-by-step explanation:

here it is given as nth term of the sequence is 5n+2

so we can find the first term by substituting n=1

so 'a'(first term)=5*1+2=5+2=7

in order to find the common difference,we have to find the second term

so substituting n=2,we get 5*2+2=10+2=12

s 'd' (common difference)=second term-first term=12-7=5

now to find the 10th term,we know 10th term=a+9d=7+9*5=7+45=52

so common difference=5 AND

    10th term=52

thank you

Answer 2

Step-by-step explanation:

a) algebraic expression =dn+f-d

so,common difference (d) = 5

b) 5n+2

5*10+2

=52