5,18, 31, 44, 57, 70
Which expression represent the nth number in this sequence?

a(n) = 5 + 13(n - 1)

Step-by-step explanation:

Note that each new number is obtained by adding 13 to the previous number.  The common difference is 13 and the first number is 5.  The general formula for an arithmetic sequence is

a(n) = a(1) + d(n - 1), where d is the common difference.

Here,

a(n) = 5 + 13(n - 1)

true statements:

a) x + y = y + x   ⇒ commutative property of addition

b) (x * y) * z = x * (y * z) ⇒ associative property of multiplication

d) (x + y) + z = x + (y + z) ⇒ associative property of addition

false statements:

c) x - y = y - x   should be: x - y = - y + x

e) (x - y) - z = x - (y - z) should be: (x - y) - z = x - (y + z)

step-by-step explanation:

< coa = 150 ( given)

as ba and bc are tangents

so oc and oa is perpendicular to cb and ab respectively because in circle normal passes through centre

so in quadrilateral oabc

< coa + < oab + < ocb + < abc = 360

150 +90+90 + < abc = 360

330 + < abc = 360

< abc = 360 -330 = 30

so < abc = 30

⭐dhruv⭐