Curry Montgomery
02/04/2023 · Elementary School
With your teacher: The first term of a arithmetic sequence is 14 . The \( 7^{\text {th }} \) term is 50 . Find: (a) The common difference ' \( d \) '. (b) The rule for the sequence. The \( 6^{\text {th }} \) term of an arithmetic sequence is 123 . The \( 11^{\text {th }} \) term is 98 . Find; (a) The common difference ' \( d \) ' and first term ' \( a \) '. The rule for the sequence. (b) (c) \( 16^{\text {th }} \) term.
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For the first sequence:
- (a) Common difference \( d = 6 \)
- (b) Sequence rule: \( a_n = 6n + 8 \)
For the second sequence:
- (a) Common difference \( d = -5 \), first term \( a = 148 \)
- (b) Sequence rule: \( a_n = 153 - 5n \)
- (c) 16th term: 73
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