n- 3 1. Let a, = (a) a (c) anbn and b, = an+3. Calculate the first three terms in each sequence. n! (b) b. (d) 2an+1 – 3an

Q: Use an=a1+(n-1)d and gn=g1re-1 to find: the 19th term of the geometric sequence -2, -6, -18, -54 .…

A: Here the given series is a geometric progression. So to find any term in the series we use formula…

Q: Evaluate S10. the sum of the first ten terms of the arithmetic sequence. a, = 3n, a40 = 11a %3D

A: To Evaluate S10 Given:  a1 =3π ,   a10 =11π Let a be first term and d be common difference of…

Q: an=lo-4 (-1)n Findthe first 10 terms of the sequence

A: Given, an=10-4-1n Now plug n=1 we  get, n=1 ⇒a1=10-4-11⇒a1=10--4=14n=2 ⇒a2=10-4-12⇒a2=10-4=6n=3…

Q: A f(n) = 8n - 200 f(n) = 8n + 200 1 f(n) = 12n - 110 f(n) = 12n +110 B A ceramic potter sells coffee…

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Q: c. Write an equation for the nth term of the sequence. d. Find 12- Use the sequence 16,384, 4096,…

A: solution:-16384, 4096, 1024, 256, ...214,      212,     210,    28,  ...this is Geometric…

Q: Find the sum. (s³ – 2s – 9) + (2s² – 6s³ + s)

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Q: Find the terms of the sequence an (-1)"2 = n2 a1 a2 || a3 || a 20 a 100 ☐

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Q: Find the sum of the first n terms using the formula: a(1-rn) 1-r 2, 1, 0.5, 0.25, 0.125, ... (35…

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Q: Find the 10th term of the arithmetic sequence in which a1=12 and d = 9.1.

A: It is given that, a1=12d=9.1   It is known that nth term of arithmetic sequence can be found  by…

Q: Write the first 5 terms of each sequence a(1)=7,a(n)=a(n-1)-3 for n>2. 2. B(1)=2,b(n)=2•b(n-1)-1…

A: we have given relation in sequence.  We have to find the first 5 terms of the sequence

Q: In an arithmetic sequence, u1 = 2 and u3 = 8. (a) Find d. (2) (b) Find u20. (2) (c) Find S20.

A: Let supposer first term is denoted by a Common difference is denoted by d nth term is given as…

Q: Find m given that 2m + 3, m + 4, and m are consecutive terms of an arithmetic sequence.

A: