Given a positive integer n, how many decimal strings of length n begin or end with an odd digit? (assume inclusive or). O (10)" – 5°(10)"-2 O 5(10)"- + 5(10)"-1 O 5(10)"-1 + 5(10)"-1 – 5(10)"-2 O 5(10)"-1 + 5(10)"-1 – 5(2)(10)"-2 O None of these.

Q: -1)*+1 Ln=1 ¯n•I0* O error| < 2 × 10 -6 O error| < 2.5 × 10-6 O error| < 2.5 × 10–5 O error| < 10-5

A: Given: ∑n=1∞-1n+1n.10n. All the options have 6th term expanded. Therefore, we will check for , n=6.…

Q: Given the recursive formula: an = an-1 + 12 and a1=3. %3D Find the 4th term. O A. 15 ов 3 ос. 27 о…

A: The value of the nth term from the recursive formula can be calculated by evaluating the values of…

Q: 5(x+ 11) (x+11)(x+ 12) O 5 x**-11, x* -12 5 x+ 12 X* -11 O simplified form

A: = 5(x+11)/(x+11)(x+12)   Value of x other than x=-11. making (x+11) = c = 5c/c(x+12) =5/(x+12);…

Q: (-i)a is e(1+4n)i wheren is an integer. where n is an integer. O equal to the above O equal to the…

A: Any complex number, z can be written in the form of  z=reiθ . The complex number i can be written as…

Q: Show that the given matrix is​ nilpotent, and then use this fact to find the matrix exponential eAt.…

A:

Q: COTECE2 (л- 4)! 8. Write the following expression without using the factorial symbol. (-1)! d.…

A: 8. The answer is a.

Q: Consider the following notation. (:) - n! x!(n – x)! art 1 of 3 What name is given to the notation…

A:

Q: 3. Evaluate the expression 4(x+8) for x=6 O 14 O32 O48 O 56

A: To evaluate the expression

Q: Evaluate / 6 xе*dх 012 (-х — 1) е* +с O(-x – 1) e-* +c О36 (-х — 1) е* + с | О6 (-х — 1) е* + с

A:

Q: Determine the correct expression for L{6u(t+2)+&e4t – 58(t) Oa. 5 8-4 O b. be-2 - 5e- 8-4 6e2s - 5e-…

A:

Q: Show that (a) 8n −3n is divisible by 5 for all natural numbers n.  (b) n2 −n +41 is odd for all…

A: expansion of (a+b)n = hco an bo + nc1 an-1 b1 +.......... +ncn ao b n

Q: Find n(A)   A= {1/2, -1/2, 1/3,- 1/3,......1/10, -1/10}

A: Compute n(A) as follows.Assume a set B with 20 elements.B = {1,−1, 2, −2, 3, −3,......10, −10}.

Q: Malik currently has 39 tulips in his yard. Each year he plants 3 more. (a) Which of the following is…

A: given data  malik havs 39 tulips in his yard each year he plants 3 more  so,  p0= 39 d = 3

Q: If A=-1 4 -3 -7/ -1 and A¹=/? ? (22 a ? What is the value of the element a? Give your answer…

A:

Q: Which of the following is a false statement? In the expansion of (a +b) the coefficient of a b° is…

A: We have to choose the false statement.

Q: 13. Evaluate each of the following. (a) (4 + 12i) + (32 – 3i) (b) (4 + 12i) — (32 -3і) (c) (4 + 121)…

A: since you have posted multiple questions , so I'll solve first three for you , for rest question's…

Q: HA-[-2]. If = O A-¹ O A-¹ = O A-¹ = O A-¹, 24 = find A-¹. 3 = 6 -4] [4-2] 6 -5]

A:

Q: (i) Deduce that the difference in the number of integers in the numerator and denominator of (* 2N N…

A: Properties of floor functions will be used.

Q: 12 + 4j express both (a) – and (b) z +- in the form x + yj. If z =- 9- 7j ... (Simplify your answer.…

A:

Q: * 4. Determine the conditions under which each of the following conditional sen- tences will be a…

A: (a) The conditional statement "If a + 2 = 5, then 8 &lt; 5" will be true when the expression "a + 2"…

Q: 32 x 36 [1] ニ 56 x 57 [1] ニ 6 x 68 [1] ニ 89 88 [1] ニ a* x a ニ [1] n10 X n° 三 [1]

A: we know that by properties of integer exponent                      am×an=am+n    where m, n be the…

Q: Show that the following identities hold.

A: The two given identities are…

Q: Which expression is equal to E (2" + n²) k-1 n=2 O (2" + n?) +D ¬k-2 (2" + n2) n3D2 nk-2 O (2*-1 +…

A:

Q: If A = -60000 5-6000 -4 -7 20 0 -89 3 -8 0 -2 -2 5 6 -9 then det (A): =

A: We have to find the determinant of the matrix .

Q: (a) List the elements in A3 in lexicographical order, and list the elements in B3 in lexico-…

A:

Q: Which expression is equivalent to 2(x² – 1) + 3x(x - 4)? (1) 5x² – 5 (3) 5x² – 12x – 1 - (2) 5x² – 6…

A:

Q: If y-<, which of the following could be a value of y? (A) -11 (B)-11 C) 12 11 D) E) 11 22 098.12

A: given inequality

Q: One cut of a stick of licorice produces two pieces. Two cuts produce three pieces. Three cuts…

A: Given that:One cut of a stick of licorice produces two pieces. Two cuts produce three pieces. Three…

Q: (c) How many strings of four decimal digits have exactly three digits that are 9? (d) Write down the…

A: We have to find the coefficient.

Q: an (b) Explain what it means to say that n=1

A: According to question,Given expression,∑n=1∞an = 12