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Find the first five terms of the sequence defined below, where nn represents the position of a term in the sequence. Start with n=1n = 1.\newlinean=2n−7a_n = 2n − 7\newline_____, _____, _____, _____, _____

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Q. Find the first five terms of the sequence defined below, where nn represents the position of a term in the sequence. Start with n=1n = 1.\newlinean=2n−7a_n = 2n − 7\newline_____, _____, _____, _____, _____
  1. Find First Term: To find the first term of the sequence a1a_1, substitute n=1n = 1 into the formula an=2n−7a_n = 2n − 7.a1=2(1)−7a_1 = 2(1) − 7a1=2−7a_1 = 2 − 7a1=−5a_1 = -5So, the first term of the sequence is −5-5.
  2. Find Second Term: To find the second term of the sequence a2a_2, substitute n=2n = 2 into the formula an=2n−7a_n = 2n − 7.a2=2(2)−7a_2 = 2(2) − 7a2=4−7a_2 = 4 − 7a2=−3a_2 = -3So, the second term of the sequence is −3-3.
  3. Find Third Term: To find the third term of the sequence a3a_3, substitute n=3n = 3 into the formula an=2n−7a_n = 2n − 7.
    a3=2(3)−7a_3 = 2(3) − 7
    a3=6−7a_3 = 6 − 7
    a3=−1a_3 = -1
    So, the third term of the sequence is −1-1.
  4. Find Fourth Term: To find the fourth term of the sequence a4a_4, substitute n=4n = 4 into the formula an=2n−7a_n = 2n − 7.a4=2(4)−7a_4 = 2(4) − 7a4=8−7a_4 = 8 − 7a4=1a_4 = 1So, the fourth term of the sequence is 11.
  5. Find Fifth Term: To find the fifth term of the sequence a5a_5, substitute n=5n = 5 into the formula an=2n−7a_n = 2n − 7.a5=2(5)−7a_5 = 2(5) − 7a5=10−7a_5 = 10 − 7a5=3a_5 = 3So, the fifth term of the sequence is 33.

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