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Ex 8.1, 3 Determine whether 97 and 172 are terms of the sequence 𝑑_𝑛=5π‘›βˆ’3 "for " 𝑛β‰₯1"." To check whether 97 and 172 are terms of sequence We put 𝑑_𝑛 = 97 and find n Checking if 97 is a term of sequence Given 𝑑_𝑛=5π‘›βˆ’3 Putting 𝒕_𝒏 = 97 97 = 5n – 3 97 + 3 = 5n 100 = 5n 5n = 100 n = 100/5 n = 20 Thus, 97 is the 20th term of the sequence Checking if 172 is a term of sequence Given 𝑑_𝑛=5π‘›βˆ’3 Putting 𝒕_𝒏 = 172 172 = 5n – 3 172 + 3 = 5n 175 = 5n 5n = 175 n = 175/5 n = 35 Thus, 172 is the 35th term of the sequence

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