Consider the sequence 67, 63, 59, 55...... a. show that the sequence is arithmetic. b. find a formula for the general term Un. c. Find the 60th term of the sequence. d. Is -143 a member of the sequence? e. Is 85 a member of the sequence?

nicekikah

nicekikah

Answered question

2020-10-18

Consider the sequence 67,63,59,55...... 1. show that the sequence is arithmetic. 2. find a formula for the general term Un. 3. Find the 60th term of the sequence. 4. Is -143 a member of the sequence? 5. Is 85 a member of the sequence?

Answer & Explanation

escumantsu

escumantsu

Skilled2020-10-19Added 98 answers

Step 1 Observe the following series: 67,63,59,55... Step 2 The terms of the series can be denoted as follows: a1=67,
a2=63,
a3=59,
a4=55, Step 3 Check the series' type now.: a1a2=6763=4,
a2a3=6359=4,
a3a4=5955=4, Since a1a2=a2a3=a3a4=4, Hence series is arithmetic Step 4 The formula for the nth term is determined as follows: a1=67,
a2=63,
a2=a14(21),
a3=59,
a3=a14(31), Now decide. thr 6th term sa follows: a60=a14(601)
a60=67459
d60=169

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