The nth term of a sequence is 3n + 2

a) work out the first 3 terms in the sequence

b) work out the 10th term in the sequence

see explanation

Step-by-step explanation:

To calculate the first 3 terms substitute n = 1, 2, 3 into the n th term rule

= (3 × 1) + 2 = 3 + 2 = 5

= (3 × 2) + 2 = 6 + 2 = 8

= (3 × 3) + 2 = 9 + 2 = 11

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substitute n = 10 into the n th term rule

= (3 × 10) + 2 = 30 + 2 = 32

5=812a+9+3

step 1: simplify both sides of the equation.

5=812a+9+3

5=(812a)+(9+3)(combine like terms)

5=812a+12

5=812a+12

step 2: flip the equation.

812a+12=5

step 3: subtract 12 from both sides.

812a+12−12=5−12

812a=−7

step 4: divide both sides by 812.

812a /812 = -7/812

a= -1/116

so the answer is

a=   -1/116