Question

Write the common difference of the sequence with algebraic expression 3n+11
a) Write the 7th term of the sequence

Answer 1

Answer:

Common difference is 3 and the 7 th term is 32

Answer 2

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$3n + 1$

Put different values of n to obtain an arithmetic progression.

If n = 1 , 3n + 1 = 3(1) + 1 = 4

If n = 2, 3(2) + 1 = 7

If n = 3, 3(3) + 1 = 10

AP = 4 , 7 , 10 , .....

Common Difference = a2 - a1

= 7 - 4 = 3

Seventh term (a7) = a + 6d

= 4 + 6(3) = 4 + 18 = 22

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