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Activity 3. Directions: Use the nth term of an arithmetic sequence an = a1 + (n-1)d to answer the following questions. (Show your complete solution)
1. What is the value of the 100th term in the sequence -2, 1, 4, 7, __?

2. In the arithmetic sequence: 7, 10, 13, 16, ; find n if an = 304

3. Find the nth term of the sequence 1,5,9,13,

4. The first term of an arithmetic sequence is 2 while the 18th term is 87. Find the common difference of the sequence.​


Sagot :

Answer:

1. a100= -2 + (100-1)3

-2 + (99)3

-2+307

= 305

2. 3

3. 1,5,9,13,17,21,25,29,33,37,41...